F4vhi130502con

Exhibit 99

Additional Information



The following persons directly hold the following percentages of

the outstanding shares of common stock of the issuer, Valhi,

Inc. ("Valhi"):



Valhi Holding Company ("VHC")..............................92.6%

Harold Simmons Foundation, Inc. (the "Foundation")..........0.7%

Harold C. Simmons...........................................0.5%

Contran Amended and Restated Deferred

  Compensation Trust "CDCT")................................0.3%

Annette C. Simmons..........................................0.2%

Contran Corporation ("Contran")............................ 0.1%

The Annette Simmons Grandchildren's Trust

  (the "Grandchildren's Trust") ..................less than 0.1%



     The following persons directly hold the following

percentages of the outstanding shares of common stock of Kronos

Worldwide, Inc. ("Kronos"):



Valhi......................................................50.0%

NL Industries, Inc. ("NL").................................30.4%

Annette C. Simmons..........................................0.7%

Harold C. Simmons...........................................0.7%

Contran...........................................less than 0.1%



     The following persons directly hold the following

percentages of the outstanding shares of common stock of NL:



Valhi......................................................83.0%

Harold C. Simmons...........................................2.2%

Annette C. Simmons..........................................0.9%

Kronos............................................less than 0.1%



     Dixie Rice Agricultural Corporation, Inc. ("Dixie Rice") is

the direct holder of 100% of the outstanding shares of common

stock of VHC. Contran is the holder of 100% of the outstanding

shares of common stock of Dixie Rice.



     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, or is held by Mr. Simmons or

persons or other entities related to Mr. Simmons.  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 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.



     U.S. Bank National Association serves as the trustee of the

CDCT. Contran established the CDCT as an irrevocable "rabbi

trust" to assist Contran in meeting certain deferred

compensation obligations that it owes to Harold C. Simmons.  If

the CDCT 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, Contran

(i) retains the power to vote the shares of the issuer's common

stock held directly by the CDCT, (ii) retains dispositive power

over such shares and (iii) may be deemed the indirect beneficial

owner of such shares.



     Mr. Harold C. Simmons is chairman of the board of Kronos,

Valhi, VHC, Dixie Rice and Contran, and chairman of the board

and chief executive officer of NL.



     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 certain of such entities and (b) Mr.

Simmons and certain of such entities may be deemed to possess

indirect beneficial ownership of, and a pecuniary interest in,

shares of common stock directly held by certain of such other

entities. However, Mr. Simmons disclaims such beneficial

ownership of, and such pecuniary interest in, such shares

beneficially owned, directly or indirectly, by any of such

entities, except to the extent of his vested beneficial

interest, if any, in the shares the CDCT holds directly.



     The reporting person understands that NL, a subsidiary of

NL and Kronos directly own 10,814,370 shares, 3,558,600 shares

and 1,724,916 shares, respectively, of Valhi common stock as of

the date of this statement. As already stated, Valhi is the

direct holder of approximately 83.0% of the outstanding shares

of common stock of NL and 50.0% of the outstanding shares of

Kronos common stock.  As a result of Valhi's direct and indirect

ownership of NL, its subsidiary and Kronos, the reporting person

further understands that, pursuant to Delaware law, Valhi treats

the shares of Valhi common stock that NL, its subsidiary and

Kronos own as treasury stock for voting purposes. For the

purposes of this statement, such shares of Valhi common stock

that NL, its subsidiary and Kronos hold directly are not deemed

outstanding.



     Annette C. Simmons is the wife of Harold C. Simmons.  Mr.

Simmons may be deemed to share indirect beneficial ownership of

the shares that his wife holds directly.  Mr. Simmons disclaims

beneficial ownership of all securities that his wife holds

directly.  Mrs. Simmons disclaims beneficial ownership of all

shares she does not hold directly.



     The Grandchildren's Trust is a trust of which Harold C.

Simmons and his wife are trustees and the beneficiaries are the

grandchildren of his wife.  Mr. Simmons, as co-trustee of this

trust, has the power to vote and direct the disposition of the

shares of Valhi common stock the trust holds. Mr. Simmons

disclaims beneficial ownership of any shares that this trust

holds.