I suspect that he may have been assigned light house keeping type services, cooking, tending horses, etc., during his brief service.
Company D was stationed at Camp Clark for most of his service, up through August 31, 1862
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THIRTY-SIXTH TEXAS CAVALRY. The Thirty-sixth Texas Cavalry was the highest officially numbered Texas cavalry regiment. The unit was organized on March 22, 1862, at Belton, Texas, and is often incorrectly confused with the Thirty-second and Fifteenth Texas cavalries. The original officers included Col. Peter C. Woods, Lt. Col. Nathaniel Benton, Lt. William O. Hutchinson, and Maj. Stokely M. Holmes. The Thirty-sixth Texas Cavalry consisted of ten companies that included 823 men from Bee, Bell, Bexar, Caldwell, Comal, DeWitt, Gonzales, Guadalupe, Hays, and Hopkins counties. The unit was known by several alternate names including: Woods's Cavalry, Benton's Cavalry, Holmes's Cavalry, Hutchinson's Cavalry, and White's Cavalry.
In the summer of 1862 the Thirty-sixth Texas Cavalry was stationed at Camps Bee, Clark, Frio, Hood, Magruder, Salado, and Verde in Texas. It patrolled the Texas coast from Fredericksburg to Brownsville until July 1862. The soldiers protected cotton wagons going into Mexico to sell to English traders at Matamoros. The unit then traveled to San Antonio Springs before spending the winter of 1862 at Port Lavaca on Matagorda Bay. They were assigned to the Ringgold Barracks and Camp Sibley near Fort Brown around Brownsville in the spring of 1863.
http://www.tshaonline.org/handbook/online/articles/qkt25