The State of Texas

and U. S. Capitol Building in Washington DC

By act of Congress July 2, 1864

"...the President is hereby authorized to invite each and all the States to provide and furnish statues, in marble or bronze, not exceeding two in number for each State, of deceased persons who have been citizens thereof, and illustrious for their historic renown or for distinguished civic or military services such as each State may deem to be worthy of this national commemoration; and when so furnished the same shall be placed in the Old Hall of the House of Representatives, in the Capitol of the United States, which is set apart, or so much thereof as may be necessary, as a national statuary hall for the purpose herein indicated."

Each of the States has two statues in the  U. S. Capitol Building except, New Mexico and Nevada.  They only have one each.  I don't guess they have figured out anybody else important enough to carve.  

Texas submitted two statues by the sculptor Elisabet Ney.  They were marble likenesses of Stephen F. Austin and Sam Houston.  The Stephen F. Austin statue is located in the small House rotunda, just off the main rotunda and the Sam Houston statue is located in the National Statuary Hall next to the rotunda.

Elisabet Ney was commissioned to model Sam Houston and Stephen F. Austin for the Chicago World's Fair in 1893.  In 1905 marble sculptors based on these models were donated to the U. S. Capitol Building collection.

Other Resources:

Elisabet Ney Museum

The Architect of the Capitol