This could be him, assume Carney is related, cousin, brother, etc.

Elisha Sumrall, age 17, Private, Capt. T. T. Howze's Company, 37th Regiment Mississippi Volunteers,* enlisted March 8, 1862 at Shubuta by R. McLain for 3 years or the war, recorded on April 30, 1862 as discharged for disability, name dropped, no pay

* This company subsequently became Company E. 37th Regiment Mississippi Infantry

.....

Carney S. Sumrall, age 32, Private, Capt. T. T. Howze's Company, 37th Regiment Mississippi Volunteers,* enlisted March 8, 1862 at Shubuta by R. McLain for 3 years or the war, paroled at Meridian, Miss., May 11, 1865

M269: Compiled Service Records of Confederate Soldiers Who Served in Organizations from the State of Mississippi