You can procure their records through a service provided by these message boards, see:

http://history-sites.com/research/

Henry M. Priest, age 22, Private, Capt. Jack Davis’ Company, Gregg’s Regiment Texas Volunteers,* enlisted September 25, 1861 at Rusk, Cherokee County, Texas by J. Davis for 3 years or the war, appointed 1st Corporal, January 2, 1862, captured at Fort Donelson February 16, 1862, admitted U. S. A. Prison Hospital, Camp Douglas, July 30, returned to duty August 5, died July 17/August 17/18/19, 1862 at Camp Douglas, Ill.

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W. H. Priest, age 18, Private, Capt. Jack Davis’ Company, Gregg’s Regiment Texas Volunteers,* enlisted September 25, 1861 at Rusk, Cherokee County, Texas by J. Davis for 3 years or the war, captured at Fort Donelson February 16, 1862, admitted Post Hospital, Camp Douglas, Ill., June 27, 1862, Febris Typhoidens, died June 30/July 1, 1862, father M. Priest filed claim for settlment of the accounts of his two sons, William and Henry, Cherokee County, Texas, December 23, 1862

* This company subsequently became Company E, 7th Regiment Texas Infantry

M323: Compiled Service Records of Confederate Soldiers Who Served in Organizations from the State of Texas