SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                  Schedule 13D
                               (Amendment No. 19)*

                    Under the Securities Exchange Act of 1934


                           TITANIUM METALS CORPORATION
                                (Name of Issuer)

                     Common Stock, $0.01 par value per share
                         (Title of Class of Securities)

                                   888339 10 8
                                 (CUSIP Number)

                                STEVEN L. WATSON
                              THREE LINCOLN CENTRE
                                   SUITE 1700
                                5430 LBJ FREEWAY
                            DALLAS, TEXAS 75240-2694
                                 (972) 233-1700
                  (Name, Address and Telephone Number of Person
                Authorized to Receive Notices and Communications)

                                  June 3, 2003
                      (Date of Event which requires Filing
                               of this Statement)

         If the filing person has  previously  filed a statement on Schedule 13G
to report the  acquisition  that is the  subject of this  Schedule  13D,  and is
filing  this  schedule  because  of  sections   240.13d-1(e),   240.13d-1(f)  or
240.13d-1(g), check the following box. [ ]

         *The  remainder  of this cover page shall be filled out for a reporting
person's  initial  filing on this  form with  respect  to the  subject  class of
securities,  and for any subsequent amendment containing information which would
alter disclosures provided in a prior cover page.

         The information  required on the remainder of this cover page shall not
be deemed to be "filed" for the purpose of Section 18 of the Securities Exchange
Act of 1934 ("Act") or otherwise  subject to the  liabilities of that section of
the Act but shall be subject to all other  provisions of the Act  (however,  see
the Notes).

                         (Continued on following pages)






CUSIP No.  888339 10 8

     1       NAMES OF REPORTING PERSONS AND I.R.S. IDENTIFICATION NOS. OF SUCH
             PERSONS (ENTITIES ONLY)

                      Tremont LLC

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [ X ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      WC and AF

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Delaware

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     1,261,850
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      1,261,850

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      1,261,850

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      39.7%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  888339 10 8

     1       NAMES OF REPORTING PERSONS AND I.R.S. IDENTIFICATION NOS. OF SUCH
             PERSONS (ENTITIES ONLY)

                      Valhi, Inc.

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [ X ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Delaware

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     1,299,018
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      1,299,018

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      1,299,018

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      40.8%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  888339 10 8

     1       NAMES OF REPORTING PERSONS AND I.R.S. IDENTIFICATION NOS. OF SUCH
             PERSONS (ENTITIES ONLY)

                      Valhi Group, Inc.

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [ X ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Nevada

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     1,299,018
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      1,299,018

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      1,299,018

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      40.8%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  888339 10 8

     1       NAMES OF REPORTING PERSONS AND I.R.S. IDENTIFICATION NOS. OF SUCH
             PERSONS (ENTITIES ONLY)

                      National City Lines, Inc.

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [ X ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Delaware

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     1,299,018
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      1,299,018

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      1,299,018

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      40.8%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  888339 10 8

     1       NAMES OF REPORTING PERSONS AND I.R.S. IDENTIFICATION NOS. OF SUCH
             PERSONS (ENTITIES ONLY)

                      NOA, Inc.

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [ X ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Texas

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     1,299,018
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      1,299,018

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      1,299,018

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      40.8%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  888339 10 8

     1       NAMES OF REPORTING PERSONS AND I.R.S. IDENTIFICATION NOS. OF SUCH
             PERSONS (ENTITIES ONLY)

                      Dixie Holding Company

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [ X ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Delaware

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     1,299,018
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      1,299,018

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      1,299,018

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      40.8%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  888339 10 8

     1       NAMES OF REPORTING PERSONS AND I.R.S. IDENTIFICATION NOS. OF SUCH
             PERSONS (ENTITIES ONLY)

                      Dixie Rice Agricultural Corporation, Inc.

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [ X ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Louisiana

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     1,299,018
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      1,299,018

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      1,299,018

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      40.8%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  888339 10 8

     1       NAMES OF REPORTING PERSONS AND I.R.S. IDENTIFICATION NOS. OF SUCH
             PERSONS (ENTITIES ONLY)

                      Southwest Louisiana Land Company, Inc.

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [ X ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Louisiana

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     1,299,018
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      1,299,018

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      1,299,018

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      40.8%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  888339 10 8

     1       NAMES OF REPORTING PERSONS AND I.R.S. IDENTIFICATION NOS. OF SUCH
             PERSONS (ENTITIES ONLY)

                      Contran Corporation

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [ X ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Delaware

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     1,526,648
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      1,526,648

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      1,526,648

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      44.8%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  888339 10 8

     1       NAMES OF REPORTING PERSONS AND I.R.S. IDENTIFICATION NOS. OF SUCH
             PERSONS (ENTITIES ONLY)

                      Harold Simmons Foundation, Inc.

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [ X ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Texas

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     1,299,018
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      1,299,018

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      1,299,018

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      40.8%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  888339 10 8

     1       NAMES OF REPORTING PERSONS AND I.R.S. IDENTIFICATION NOS. OF SUCH
             PERSONS (ENTITIES ONLY)

                      The Combined Master Retirement Trust

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [ X ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      WC

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Texas

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     1,585,538
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      1,585,538

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      1,585,538

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      49.8%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      EP






CUSIP No.  888339 10 8

     1       NAMES OF REPORTING PERSONS AND I.R.S. IDENTIFICATION NOS. OF SUCH
             PERSONS (ENTITIES ONLY)

                      Harold C. Simmons

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP(SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [ X ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      USA

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     1,817,928
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      1,817,928

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      -0-

    12       CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [ X ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      0.0%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      IN






                                AMENDMENT NO. 19
                                 TO SCHEDULE 13D

         This amended statement on Schedule 13D (collectively, this "Statement")
relates  to the  common  stock,  $0.01 par value per share  (the  "Shares"),  of
Titanium Metals Corporation, a Delaware corporation (the "Company"). Items 2, 3,
4, 5, 6 and 7 of this Statement are hereby amended as set forth below.

Item 2.  Identity and Background.

         Item 2 is amended as follows:

         (a)  The  following  entities  or  person  are  filing  this  Statement
(collectively, the "Reporting Persons"):

                  (i) Tremont LLC and The Combined Master  Retirement Trust (the
         "CMRT") as direct holders of Shares;

                  (ii) Valhi, Inc.  ("Valhi") as the direct holder of Shares and
         by virtue its  direct  holding  of 100% of the  outstanding  membership
         interests of Tremont LLC;

                  (iii) Valhi Group,  Inc.  ("VGI"),  National City Lines,  Inc.
         ("National"),   NOA,  Inc.  ("NOA"),   Dixie  Holding  Company  ("Dixie
         Holding"),  Dixie Rice Agricultural  Corporation,  Inc. ("Dixie Rice"),
         Southwest   Louisiana  Land  Company,   Inc.   ("Southwest"),   Contran
         Corporation  ("Contran") and the Harold Simmons  Foundation,  Inc. (the
         "Foundation")  by virtue of their  direct  and  indirect  ownership  of
         securities of Tremont LLC (as described below in this Statement); and

                  (iv) Harold C. Simmons by virtue of his positions with Contran
         and certain of the other entities (as described in this Statement).

By signing this Statement, each Reporting Person agrees that this Statement is
filed on its or his behalf.

         Tremont LLC, the CMRT and Valhi are the direct holders of approximately
39.7%, 9.0% and 1.1%,  respectively,  of the 3,180,182 Shares  outstanding as of
May 7, 2003  according to the  Company's  Quarterly  Report on Form 10-Q for the
quarter  ended March 31,  2003 (the  "Outstanding  Shares").  Tremont LLC may be
deemed to control the Company.

         Valhi  also  directly  holds  14,700  6  5/8%   Convertible   Preferred
Securities,  Beneficial  Unsecured  Convertible  Securities of the TIMET Capital
Trust 1 (the "BUCs") that are convertible  into 1,968 Shares,  or  approximately
0.1% of the  outstanding  Shares  assuming the full  conversion of only the BUCs
Valhi directly holds.

         Contran directly holds 1,700,000 BUCs that are convertible into 227,630
Shares,  or  approximately  6.7% of the  outstanding  Shares  assuming  the full
conversion of only the BUCs Contran directly holds.

         Valhi  is the  direct  holder  of  100% of the  outstanding  membership
interests  of  Tremont  LLC and may be  deemed  to  control  Tremont  LLC.  VGI,
National, Contran, the Foundation, the Contran Deferred Compensation Trust No. 2
(the  "CDCT No. 2") and the CMRT are the direct  holders of 77.6%,  9.1%,  2.9%,
1.3%, 0.4% and 0.1%, respectively,  of the common stock of Valhi. Together, VGI,
National  and Contran may be deemed to control  Valhi.  National,  NOA and Dixie
Holding  are the  direct  holders  of  approximately  73.3%,  11.4%  and  15.3%,
respectively,  of the outstanding common stock of VGI. Together,  National,  NOA
and Dixie  Holding may be deemed to control VGI.  Contran and NOA are the direct
holders of  approximately  85.7% and  14.3%,  respectively,  of the  outstanding
common stock of National and together may be deemed to control National. Contran
and  Southwest  are  the  direct  holders  of  approximately  49.9%  and  50.1%,
respectively,  of the outstanding common stock of NOA and together may be deemed
to  control  NOA.  Dixie Rice is the  direct  holder of 100% of the  outstanding
common  stock of Dixie  Holding  and may be deemed  to  control  Dixie  Holding.
Contran is the holder of 100% of the outstanding  common stock of Dixie Rice and
may be deemed to control  Dixie  Rice.  Contran  is the holder of  approximately
88.9% of the outstanding  common stock of Southwest and may be deemed to control
Southwest.

         Substantially  all of  Contran's  outstanding  voting  stock is held by
trusts  established  for the benefit of certain  children and  grandchildren  of
Harold C. Simmons (the "Trusts"),  of which Mr. Simmons is the sole trustee.  As
sole trustee of each of the Trusts, Mr. Simmons has the power to vote and direct
the  disposition of the shares of Contran stock held by each of the Trusts.  Mr.
Simmons, however,  disclaims beneficial ownership of any shares of Contran stock
that the Trusts hold.

         The CMRT directly holds  approximately  9.0% of the Outstanding  Shares
and 0.1% of the outstanding  shares of Valhi common stock. Valhi established the
CMRT as a trust to  permit  the  collective  investment  by master  trusts  that
maintain  the  assets of  certain  employee  benefit  plans  Valhi  and  related
companies adopt. Mr. Simmons is the sole trustee of the CMRT and a member of the
trust investment  committee for the CMRT. Mr. Simmons is a participant in one or
more of the employee benefit plans that invest through the CMRT.

         The Foundation  directly holds  approximately  1.3% of the  outstanding
Valhi common  stock.  The  Foundation is a tax-exempt  foundation  organized for
charitable  purposes.  Harold C.  Simmons  is the  chairman  of the board of the
Foundation and may be deemed to control the Foundation.

         The CDCT No. 2 directly  holds  approximately  0.4% of the  outstanding
Valhi common stock. U.S. Bank National  Association serves as the trustee of the
CDCT No. 2. Contran  established the CDCT No. 2 as an irrevocable  "rabbi trust"
to assist Contran in meeting certain deferred  compensation  obligations that it
owes to Harold C. Simmons.  If the CDCT No. 2 assets are insufficient to satisfy
such  obligations,   Contran  is  obligated  to  satisfy  the  balance  of  such
obligations  as they come due.  Pursuant to the terms of the CDCT No. 2, Contran
(i) retains the power to vote the shares of Valhi common stock held  directly by
the CDCT No. 2, (ii) retains dispositive power over such shares and (iii) may be
deemed the indirect beneficial owner of such shares.

         Valmont Insurance Company ("Valmont"), NL Industries, Inc. ("NL") and a
subsidiary of NL directly own 1,000,000  shares,  3,522,967 shares and 1,186,200
shares, respectively,  of Valhi common stock. Valhi is the direct holder of 100%
of the outstanding common stock of Valmont and may be deemed to control Valmont.
Valhi and Tremont LLC are the direct  holders of 63.2% and 21.4%,  respectively,
of the  outstanding  common stock of NL.  Together  Valhi and Tremont LLC may be
deemed to control NL. Pursuant to Delaware law, Valhi treats the shares of Valhi
common stock that Valmont, NL and the subsidiary of NL own as treasury stock for
voting  purposes  and for the  purposes  of this  Statement  such shares are not
deemed outstanding.

         Mr.  Harold C.  Simmons is  chairman of the board of Tremont  LLC,  NL,
Valhi, VGI, National, NOA, Dixie Holding, Dixie Rice, Southwest and Contran.

         By virtue of the offices held, the stock  ownership and his services as
trustee,  all as described  above,  (a) Mr. Simmons may be deemed to control the
entities described above and (b) Mr. Simmons and certain of such entities may be
deemed to possess  indirect  beneficial  ownership  of Shares  directly  held by
certain of such other entities.  Mr. Simmons disclaims  beneficial  ownership of
the Shares beneficially owned, directly or indirectly, by any of such entities.

         Harold C.  Simmons  and his spouse are  co-trustees  of a trust for the
benefit of the grandchildren of his spouse (the  "Grandchildren's  Trust").  The
Grandchildren's  Trust is the direct holder of 4,760  Shares.  Mr.  Simmons,  as
co-trustee of the  Grandchildren's  Trust,  has the power to vote and direct the
disposition of the Shares the Grandchildren's  Trust directly holds. Mr. Simmons
disclaims  beneficial  ownership  of any Shares that the  Grandchildren's  Trust
holds.

         (b) The business  addresses of the directors and executive  officers of
the  Reporting  Persons  are set  forth  on  Schedule  B to this  Statement  and
incorporated herein by reference.

         (c) The present  principal  occupation  of the  directors and executive
officers of the Reporting  Persons are set forth on Schedule B to this Statement
and incorporated herein by reference.

         (d) None of the  Reporting  Persons or, to the best  knowledge  of such
persons,  any of the  persons  named in  Schedule B to this  Statement  has been
convicted in a criminal  proceeding  in the past five years  (excluding  traffic
violations or similar misdemeanors).

         (e) None of the  Reporting  Persons or, to the best  knowledge  of such
persons,  any person  named in  Schedule B to this  Statement,  was a party to a
civil proceeding of a judicial or administrative body of competent  jurisdiction
as a result of which such  person was or is  subject  to a  judgment,  decree or
final  order  enjoining  future  violations  of,  or  prohibiting  or  mandating
activities subject to, federal or state securities laws or finding any violation
with respect to such laws.

         (f) Harold C.  Simmons and all the persons  named on Schedule B to this
Statement are citizens of the United  States,  except as otherwise  indicated on
such Schedule.

Item 3.  Source and Amount of Funds or Other Consideration.

         Item 3 is amended to add the following:

         As previously disclosed, on May 5, 2003, Valhi commenced a tender offer
(the  "BUCs  Tender  Offer") to  purchase  for cash up to  1,000,000  BUCs for a
purchase price of $10.00 per BUC. The BUCs include the  associated  guarantee by
the Company.  The BUCs Tender  Offer  expired at 12:00  midnight,  New York City
time,  on  Monday,  June 2,  2003.  On June 3,  2003,  Valhi  announced  that it
purchased  14,700  BUCs that had been  tendered in the BUCs  Tender  Offer.  The
description  of the BUCs Tender  Offer in this  Statement  is  qualified  in its
entirety  by the  Schedule  TO and  its  exhibits  that  Valhi  filed  with  the
Securities and Exchange  Commission  (the "SEC") on May 5, 2003 as such Schedule
TO was amended by (collectively, the Schedule TO"):

         (1) Amendment No. 1 to Schedule TO that Valhi filed with the SEC on May
16, 2003;

         (2) Amendment No. 2 to Schedule TO that Valhi filed with the SEC on May
23, 2003; and

         (3)  Amendment  No. 3 to  Schedule  TO that Valhi filed with the SEC on
June 3, 2003.

The Schedule TO is incorporated herein by reference.

         The total amount of funds (including commissions) Valhi used to acquire
the 33,400  Shares it purchased as reported in Item 5(c) was  $804,400.00.  Such
funds were provided by Valhi's cash on hand.

         The total amount of funds (including commissions) Valhi used to acquire
the 14,700 BUCs  purchased in the BUCs Tender Offer as reported in Item 5(c) was
$147,000.00. Such funds were provided by Valhi's cash on hand.

         On June 13,  2003,  Contran  purchased  1,000,000  BUCs from  Harold C.
Simmons'  spouse in a private  transaction  for an aggregate  purchase  price of
$10.0 million,  which purchase price was paid in the form or a Demand Promissory
Note dated  June 13,  2003 in the  original  principal  amount of $10.0  million
payable  to the order of Mr.  Simmons'  spouse  and  executed  by  Contran  (the
"Note").

         Prior to an event of default,  the  principal  amount of the Note bears
interest  at the prime rate (as  reported  from time to time in the Money  Rates
column of The Wall Street  Journal)  less  one-half  percent.  After an event of
default,  the principal amount of the Note bears interest at the same prime rate
plus four  percent.  In no event may the amount agreed to be paid under the Note
exceed the highest lawful rate permissible  under applicable law.  Principal and
interest are payable on demand by the holder of the Note and otherwise  interest
is payable quarterly. If interest is not paid quarterly,  the unpaid interest is
added to the principal  amount of the Note on the original payment date for such
interest.  The  Note  may be  prepaid  in part or in  full at any  time  without
penalty,  provided  prepayments are first applied to accrued and unpaid interest
and then to  principal.  The  holder of the Note has a right of  offset  against
amounts  that may be due the  holder  now or in the  future to  Contran  against
amounts  due under  the Note.  An event of  default  occurs  under the Note upon
Contran's  default in payment of any  principal of, or interest on, the Note ten
business  days after the holder of the Note makes  demand for  payment.  Contran
cannot assign its  obligations  under the Note without the consent of the holder
of the Note.

         Except  as  otherwise  previously  disclosed  under  this  Item 3,  the
Reporting  Persons  understand  that  the  funds  used by each  person  named in
Schedule B to this Statement to acquire Shares were from such person's  personal
funds.

Item 4.  Purpose of Transaction

         No change to Item 4 except for the addition of the following:

         Valhi  purchased  Shares for investment  purposes.  Valhi purchased the
BUCs in the BUCs Tender  Offer for the  purposes  set forth in the  Schedule TO,
which is incorporated herein by reference. Contran purchased BUCs for investment
purposes.

         Depending  upon  their   evaluation  of  the  Company's   business  and
prospects,  and  upon  future  developments  (including,  but  not  limited  to,
performance of the Company's  securities in the market,  availability  of funds,
alternative  uses of funds, the Reporting  Persons' tax planning  objectives and
cash needs, stock market and general economic conditions),  any of the Reporting
Persons or other  entities or persons that may be deemed to be  affiliated  with
Contran  may  from  time to time  purchase  Company  securities,  and any of the
Reporting  Persons,  or other  entities  or  persons  that may be  deemed  to be
affiliated  with  Contran  may from time to time  dispose of all or a portion of
Company  securities  held by such entity or person,  or cease  buying or selling
Company securities. Any such additional purchases or sales of Company securities
may be in open market or privately negotiated transactions or otherwise.

         As described under Item 2, Harold C. Simmons,  through Contran,  may be
deemed to control the Company.

         The  information  included in Item 6 of this Statement is  incorporated
herein by reference.

         The Reporting Persons  understand that prior purchases of the Company's
equity  securities by each of the persons named in Schedule B to this  Statement
were made for such person's personal investment.

         Certain of the persons  named in Schedule B to this  Statement,  namely
Glenn R.  Simmons and Steven L.  Watson,  are  directors  of the Company and may
acquire  Shares  from time to time  pursuant  to benefit  plans that the Company
sponsors or other compensation arrangements with the Company.

         Except as described in this Item 4, none of the Reporting  Persons nor,
to the best  knowledge of such persons,  any other person named in Schedule B to
the this Statement has formulated any plans or proposals that relate to or would
result in any matter  required to be  disclosed  in response to  paragraphs  (a)
through (j) of Item 4 of Schedule 13D.

Item 5.  Interest in Securities of the Issuer.

         Item 5 is amended as follows:

         No change except for the addition of the following:

         (a) Tremont LLC, the CMRT, Valhi and the Grandchildren's  Trust are the
direct  holders of 1,261,850  Shares,  286,520  Shares,  35,200 Shares and 4,760
Shares, respectively. Contran and Valhi are the direct holders of 1,700,000 BUCs
and 14,700 BUCs,  respectively,  which are  convertible  into 227,630 Shares and
1,968 Shares, respectively.

         By  virtue  of  the  relationships  described  under  Item  2  of  this
Statement:

                  (1) Valhi,  VGI,  National,  NOA, Dixie  Holding,  Dixie Rice,
         Southwest and the  Foundation  may each be deemed to be the  beneficial
         owner of the 1,297,050  Shares that Tremont LLC and Valhi hold directly
         and the 1,968 Shares Valhi may acquire  upon  conversion  of the 14,700
         BUCs that Valhi holds directly (in the aggregate  1,299,018  Shares, or
         approximately  40.8%  of  the  outstanding  Shares  assuming  the  full
         conversion of only Valhi's BUCs);

                  (2)  Contran may be deemed to be the  beneficial  owner of the
         1,297,050  Shares  that  Tremont  LLC and Valhi hold  directly  and the
         229,598  Shares  Contran and Valhi may acquire upon  conversion  of the
         1,714,700  BUCs that Contran and Valhi hold  directly (in the aggregate
         1,526,648  Shares,  or  approximately  44.8% of the outstanding  Shares
         assuming the full conversion of only Contran's and Valhi's BUCs);

                  (3) The CMRT may be deemed to be the  beneficial  owner of the
         1,583,570 Shares that Tremont LLC, the CMRT and Valhi hold directly and
         the 1,968 Shares Valhi may acquire upon  conversion  of the 14,700 BUCs
         that Valhi  holds  directly  (in the  aggregate  1,585,538  Shares,  or
         approximately  49.8%  of  the  outstanding  Shares  assuming  the  full
         conversion of only Valhi's BUCs); and

                  (4) Harold C. Simmons may be deemed to be the beneficial owner
         of the  1,588,330  Shares that  Tremont  LLC,  the CMRT,  Valhi and the
         Grandchildren's  Trust hold directly and the 229,598 Shares Contran and
         Valhi may acquire upon  conversion of the  1,714,700  BUCs that Contran
         and  Valhi  hold  directly  (in  the  aggregate  1,817,928  Shares,  or
         approximately  53.3%  of  the  outstanding  Shares  assuming  the  full
         conversion of only the BUCs Contran and Valhi directly hold).

         Mr. Simmons disclaims beneficial ownership of all Company securities.

         (b) By virtue of the relationships described in Item 2:

                  (1) Valhi,  VGI,  National,  NOA, Dixie  Holding,  Dixie Rice,
         Southwest and the  Foundation  may each be deemed to share the power to
         vote and direct the  disposition  of the 1,297,050  Shares that Tremont
         LLC and Valhi hold directly and the 1,968 Shares Valhi may acquire upon
         conversion  of the  14,700  BUCs  that  Valhi  holds  directly  (in the
         aggregate  1,299,018 Shares, or approximately  40.8% of the outstanding
         Shares assuming the full conversion of only Valhi's BUCs);

                  (2)  Contran  may be  deemed  to share  the  power to vote and
         direct the  disposition  of the  1,297,050  Shares that Tremont LLC and
         Valhi  hold  directly  and the  229,598  Shares  Contran  and Valhi may
         acquire upon  conversion of the  1,714,700  BUCs that Contran and Valhi
         hold  directly (in the aggregate  1,526,648  Shares,  or  approximately
         44.8% of the  outstanding  Shares  assuming the full conversion of only
         Contran's and Valhi's BUCs);

                  (3) The CMRT may be  deemed  to  share  the  power to vote and
         direct the  disposition  of the 1,583,570  Shares that Tremont LLC, the
         CMRT and Valhi,  hold  directly  and the 1,968 Shares Valhi may acquire
         upon  conversion  of the 14,700 BUCs that Valhi holds  directly (in the
         aggregate  1,585,538 Shares, or approximately  49.8% of the outstanding
         Shares assuming the full conversion of only Valhi's BUCs); and

                  (4) Harold C. Simmons may be deemed to share the power to vote
         and direct the  disposition  of the 1,588,330  Shares that Tremont LLC,
         the CMRT,  Valhi and the  Grandchildren's  Trust hold  directly and the
         229,598  Shares  Contran and Valhi may acquire upon  conversion  of the
         1,714,700  BUCs that Contran and Valhi hold  directly (in the aggregate
         1,817,928  Shares,  or  approximately  53.3% of the outstanding  Shares
         assuming  the  full  conversion  of only  the BUCs  Contran  and  Valhi
         directly hold).

         (c) The table  below sets forth  purchases  of Shares by the  Reporting
Persons since April 22, 2003,  the last date purchases were reported in the last
amendment to this Statement.  All the following  transactions  were purchased on
the New York Stock Exchange unless indicated otherwise.



                                                                                                 Approximate Purchase
                                                               Type of                          Price Per Security
                                                               Company              Number          (exclusive of
                  Purchaser                      Date         Security           of Securities       commissions)
---------------------------------------------  --------       --------           --------------      ------------
                                                                                          
Valhi, Inc...................................  06/03/03         BUCs                   14,700         $10.0000
Valhi, Inc...................................  06/03/03         Shares                    500         $23.4500
Valhi, Inc...................................  06/03/03         Shares                  1,700         $23.5000
Valhi, Inc...................................  06/03/03         Shares                  1,100         $23.6000
Valhi, Inc...................................  06/03/03         Shares                  1,700         $23.7000
Valhi, Inc...................................  06/03/03         Shares                    500         $23.7500
Valhi, Inc...................................  06/03/03         Shares                    200         $23.8500
Valhi, Inc...................................  06/03/03         Shares                    300         $24.0000
Valhi, Inc...................................  06/04/03         Shares                  5,000         $24.0000
Valhi, Inc...................................  06/04/03         Shares                 22,400         $24.1500
Contran Corporation (1)......................  06/13/03         BUCs                1,000,000         $10.0000

----------

(1)      Purchased in a privately negotiated transaction from Harold C. Simmons'
         spouse. See Item 3 to this Amendment No. 19 to this Statement.

         (d)  Each  of  Tremont   LLC,   the  CMRT,   Contran,   Valhi  and  the
Grandchildren's  Trust has the  right to  receive  and the  power to direct  the
receipt of dividends from, and proceeds from the sale of, the Company securities
held by such entity or person.

Item 6.  Contracts, Arrangements, Understandings or Relationships With Respect
to Securities of the Issuer.

         Item 6 is amended as follows:

         The  information  included in Items 3 and 4 of this Statement is hereby
incorporated herein by reference.

         Other than as set forth above, none of the Reporting Persons or, to the
best knowledge of such persons, any person named in Schedule B to this Statement
has  any  contract,   arrangement,   understanding  or  relationship  (legal  or
otherwise) with any person with respect to securities of the Company, including,
but not limited to,  transfer or voting of any such  securities,  finder's fees,
joint  ventures,  loans or option  arrangements,  puts or calls,  guarantees  of
profits, division of profits or losses, or the giving or withholding of proxies.

Item 7.  Material to be Filed as Exhibits.

         Item 7 is amended and restated in its entirety as follows:

Exhibit 1         Agreement  and Plan of Merger  dated  November  4, 2002  among
                  Valhi, Inc., Valhi Acquisition Corp. and Tremont  Corporation,
                  as amended  (incorporated  by  reference  to Appendix A to the
                  Registration Statement on Form S-4 (Reg. No. 333-101244) filed
                  by Valhi, Inc. with the Securities and Exchange  Commission on
                  November 15, 2002).

Exhibit 2         Agreement  and Plan of  Merger  dated as of  November  4, 2002
                  among Valhi,  Inc.,  Tremont Group, Inc. and Valhi Acquisition
                  Corp.  II  (incorporated  by  reference to Exhibit 10.3 to the
                  Quarterly  Report on Form 10-Q of Valhi,  Inc. for the quarter
                  ended September 30, 2002).

Exhibit 3         Schedule TO dated as of May 5, 2003 filed by Valhi,  Inc. with
                  the  Securities  and  Exchange  Commission   (incorporated  by
                  reference  to the Schedule TO dated as of May 5, 2003 filed by
                  Valhi, Inc. with the Securities and Exchange Commission).

Exhibit 4         Amendment  No. 1 to Schedule TO dated as of May 16, 2003 filed
                  by Valhi,  Inc. with the  Securities  and Exchange  Commission
                  (incorporated  by reference to Amendment No. 1 to the Schedule
                  TO dated as of May 16,  2003  filed by  Valhi,  Inc.  with the
                  Securities and Exchange Commission).

Exhibit 5         Amendment  No. 2 to Schedule TO dated as of May 23, 2003 filed
                  by Valhi,  Inc. with the  Securities  and Exchange  Commission
                  (incorporated  by reference to Amendment No. 2 to the Schedule
                  TO dated as of May 23,  2003  filed by  Valhi,  Inc.  with the
                  Securities and Exchange Commission).


Exhibit 6         Amendment  No. 3 to Schedule TO dated as of June 3, 2003 filed
                  by Valhi,  Inc. with the  Securities  and Exchange  Commission
                  (incorporated  by reference to Amendment No. 3 to the Schedule
                  TO dated as of June 3,  2003  filed by  Valhi,  Inc.  with the
                  Securities and Exchange Commission).






                                    Signature

         After reasonable  inquiry and to the best of my knowledge and belief, I
certify that the information  set forth in this Statement is true,  complete and
correct.

Date:  June 19, 2003




                                                          /s/ Harold C. Simmons
                                                          ---------------------
                                                          Harold C. Simmons
                                                          Signing in the
                                                          capacities listed on
                                                          Schedule "A" attached
                                                          hereto and
                                                          incorporated herein by
                                                          reference.





                                    Signature

         After reasonable  inquiry and to the best of my knowledge and belief, I
certify that the information  set forth in this Statement is true,  complete and
correct.

Date:  June 19, 2003




                                                          /s/ Steven L. Watson
                                                          ---------------------
                                                          Steven L. Watson
                                                          Signing in the
                                                          capacities listed on
                                                          Schedule "A" attached
                                                          hereto and
                                                          incorporated herein by
                                                          reference.





                                   SCHEDULE A


HAROLD C. SIMMONS, in his individual capacity and as trustee for THE COMBINED
MASTER RETIREMENT TRUST.


STEVEN L. WATSON, as president or vice president of each of:

CONTRAN CORPORATION
DIXIE HOLDING COMPANY
DIXIE RICE AGRICULTURAL CORPORATION, INC.
HAROLD SIMMONS FOUNDATION, INC.
NATIONAL CITY LINES, INC.
NOA, INC.
SOUTHWEST LOUISIANA LAND COMPANY, INC.
TREMONT LLC
VALHI GROUP, INC.
VALHI, INC.





                                   Schedule B

         Schedule B is hereby amended and restated as follows:

         The  names  of  the  directors   and  executive   officers  of  Contran
Corporation  ("Contran"),  Dixie Holding Company ("Dixie  Holding"),  Dixie Rice
Agricultural  Corporation,  Inc. ("Dixie Rice"), the Harold Simmons  Foundation,
Inc. (the  "Foundation"),  National  City Lines,  Inc.  ("National"),  NOA, Inc.
("NOA"), Southwest Louisiana Land Company, Inc. ("Southwest"), Valhi Group, Inc.
("VGI") and Valhi, Inc.  ("Valhi") and their present  principal  occupations are
set forth below. Except as otherwise indicated, each such person is a citizen of
the United  States of America  and the  business  address of each such person is
5430 LBJ Freeway, Suite 1700, Dallas, Texas 75240.

            Name                      Present Principal Occupation
------------------------------      --------------------------------

Eugene K. Anderson                  Vice  president of Contran,  Dixie  Holding,
                                    Dixie  Rice,   National,   NOA,   Southwest,
                                    Tremont   LLC,   a  wholly   owned   limited
                                    liability  company of Valhi,  Valhi and VGI;
                                    and treasurer of the Foundation.

Thomas E. Barry (1)                 Vice  president  for  executive  affairs  at
                                    Southern Methodist  University and professor
                                    of  marketing  in the Edwin L. Cox School of
                                    Business at Southern  Methodist  University;
                                    and a director of Valhi.

Norman S. Edelcup (2)               Senior vice president  business  development
                                    of  Florida  Savings  Bancorp;  director  of
                                    Valhi;  and  trustee of the Baron  Funds,  a
                                    mutual fund group.

Lisa Simmons Epstein                Director and president of the Foundation.

Robert D. Graham                    Vice  president of Contran,  Dixie  Holding,
                                    Dixie  Rice,   National,   NOA,   Southwest,
                                    Tremont LLC, Valhi and VGI.

J. Mark Hollingsworth               Vice   president  and  general   counsel  of
                                    Contran,    Dixie   Holding,   Dixie   Rice,
                                    National, NOA, Southwest, Tremont LLC, Valhi
                                    and VGI;  general counsel of the Foundation;
                                    general counsel of CompX International Inc.,
                                    an  affiliate  of Valhi  ("CompX");  general
                                    counsel of The  Combined  Master  Retirement
                                    Trust,  a trust  Valhi  formed to permit the
                                    collective   investment   by   trusts   that
                                    maintain  the  assets  of  certain  employee
                                    benefit  plans Valhi and  related  companies
                                    adopt  (the  "CMRT");   and  acting  general
                                    counsel of Keystone Consolidated Industries,
                                    Inc. ("Keystone"), an affiliate of Contran.

Keith A. Johnson                    Controller of the Foundation.

William J. Lindquist                Director   and  senior  vice   president  of
                                    Contran,  Dixie  Holding,   National,   NOA,
                                    Tremont LLC and VGI;  senior vice  president
                                    of Dixie Rice, Southwest and Valhi.

A. Andrew R. Louis                  Secretary of Contran,  CompX, Dixie Holding,
                                    Dixie  Rice,   National,   NOA,   Southwest,
                                    Tremont LLC, Valhi and VGI.

Kelly D. Luttmer                    Tax  director  of  Contran,   CompX,   Dixie
                                    Holding,   Dixie   Rice,   National,    NOA,
                                    Southwest, Tremont LLC, VGI and Valhi.

Andrew McCollam, Jr. (3)            President   and   director   of   Southwest;
                                    director  of  Dixie  Rice;   and  a  private
                                    investor.

W. Hayden McIlroy (4)               Private  investor  primarily in real estate;
                                    and a  director  of  Valhi,  Med  Images,  a
                                    medical  information   company,   and  Cadco
                                    Systems,  Inc., a manufacturer  of emergency
                                    alert systems.

Harold M. Mire (5)                  Vice president of Dixie Rice and Southwest.

Bobby D. O'Brien                    Vice  president  and  treasurer  of Contran,
                                    Dixie Rice,  Southwest and Tremont LLC; vice
                                    president,   chief  financial   officer  and
                                    treasurer  of  Valhi;  and  director,   vice
                                    president  and  treasurer of Dixie  Holding,
                                    National, NOA and VGI.

Glenn R. Simmons                    Vice chairman of the board of Contran, Dixie
                                    Holding,  National,  NOA, Tremont LLC, Valhi
                                    and VGI;  chairman of the board of CompX and
                                    Keystone;   director  and   executive   vice
                                    president  of  Southwest   and  Dixie  Rice;
                                    director of NL Industries,  Inc. ("NL"); and
                                    a director of Titanium  Metals  Corporation,
                                    an affiliate of Valhi (the "Company").

Harold C. Simmons                   Chairman  of the  board  of  Contran,  Dixie
                                    Holding,   Dixie   Rice,   the   Foundation,
                                    National,  NL, NOA, Southwest,  Tremont LLC,
                                    Valhi and VGI; and trustee and member of the
                                    trust investment committee of the CMRT.

Richard A. Smith (5)                Vice president of Dixie Rice.

Gregory M. Swalwell                 Vice  president  and  controller of Contran,
                                    Dixie Holding,  National,  NOA, Tremont LLC,
                                    Valhi and VGI; vice  president of Dixie Rice
                                    and Southwest.

J. Walter Tucker, Jr. (6)           President,   treasurer  and  a  director  of
                                    Tucker & Branham,  Inc., a mortgage banking,
                                    insurance  and  real  estate  company;  vice
                                    chairman  of  the  board  of   Keystone;   a
                                    director of Valhi; and a member of the trust
                                    investment committee of the CMRT.

Steven L. Watson                    Director  and  president  of Contran,  Dixie
                                    Holding,  Dixie Rice, National, NOA and VGI;
                                    director,   president  and  chief  executive
                                    officer  of Valhi;  director  and  executive
                                    vice president of Southwest;  director, vice
                                    president and  secretary of the  Foundation;
                                    president  of Tremont LLC; and a director of
                                    CompX, NL, Keystone and the Company.

----------

(1)      The  principal  business  address for Dr.  Barry is Southern  Methodist
         University, Perkins Administration Bldg. #224, Dallas, Texas 75275.

(2)      The principal business address for Mr. Edelcup is 17395 North Bay Road,
         Suite 103, Sunny Isles Beach, Florida 33160.

(3)      The principal  business  address for Mr.  McCollam is 402 Canal Street,
         Houma, Louisiana 70360.

(4)      The  principal  business  address for Mr.  McIlroy is 25 Highland  Park
         Village, Suite 100-341, Dallas, Texas 75225.

(5)      The  principal  business  address  for  Messrs.  Mire and  Smith is 600
         Pasquiere Street, Gueydan, Louisiana 70542-0010.

(6)      The  principal  business  address  for  Mr.  Tucker  is 400 E.  Central
         Boulevard, Orlando, Florida 32801.





                                   SCHEDULE C

         Schedule C is hereby amended and restated as follows:

         Based  upon   ownership   filings  with  the  Securities  and  Exchange
Commission or upon  information  provided by the persons listed on Schedule B to
this Statement, such persons may be deemed to personally beneficially own shares
("Shares") of the common stock,  par value $0.01 per share,  of Titanium  Metals
Corporation, a Delaware corporation, as outlined below.



                                                           Shares                  Options
              Name                                          Held                   Held (1)                   Total
---------------------------------------                  -----------              -----------              -----------

                                                                                                    
Eugene K. Anderson                                                -0-                   -0-                    -0-

Thomas E. Barry                                                   -0-                   -0-                    -0-

Norman S. Edelcup                                                 -0-                   -0-                    -0-

Lisa Simmons Epstein                                              -0-                   -0-                    -0-

Robert D. Graham                                                  -0-                   -0-                    -0-

J. Mark Hollingsworth                                             -0-                   -0-                    -0-

Keith A. Johnson                                                  350                   -0-                    350

William J. Lindquist                                              -0-                   -0-                    -0-

A. Andrew R. Louis                                                -0-                   -0-                    -0-

Kelly D. Luttmer                                                   10                   -0-                     10

Andrew McCollam, Jr.                                              -0-                   -0-                    -0-

W. Hayden McIlroy                                                 -0-                   -0-                    -0-

Harold M. Mire                                                    -0-                   -0-                    -0-

Bobby D. O'Brien                                                  -0-                   -0-                    -0-

Glenn R. Simmons                                                1,300                 1,000                  2,300

Harold C. Simmons (2)                                             -0-                   -0-                    -0-

Richard A. Smith                                                  -0-                   -0-                    -0-

Gregory M. Swalwell                                               -0-                   -0-                    -0-

J. Walter Tucker, Jr.                                             -0-                   -0-                    -0-

Steven L. Watson                                                1,550                 1,500                  3,050


----------

(1)      Represents  Shares  issuable  pursuant to the exercise of stock options
         within 60 days of the date of this Statement.

(2)      Mr. Simmons may be deemed to possess indirect  beneficial  ownership of
         the Shares as described  in Item 5(a) of this  Statement.  Mr.  Simmons
         disclaims beneficial ownership of all Shares.