Mitchell A. Grooms actually served in the 30th Arkansas Infantry, which was sometimes alternately referred to as the 5th Trans-Mississippi and 5th Arkansas. He enlisted in Co. B, 30th Arkansas, at Pineville, Arkansas, on June 19, 1862, for three years or the war. He was wounded and lost an arm in the attack on Helena, Arkansas, on July 4, 1863. He was apparently evacuated to a hospital at Little Rock, as he surrendered there on September 12, 1863, two days after the city was captured.
His widow, Mrs. Elizabeth Grooms, applied for a Confederate pension from Greene County in 1901 (Pension No. 18328).
You can order a copy of his service record and his widow's pension record from the Military Records Research Service. Click on the box at the top of this page for information.