Here's a possibility, I could not locate an Arkansas pension

T. B. Dunn, Private, Captain W. G. Grace’s Company, Mississippi State Troops, enlisted September 15, 1864 at Jackson by Col. Patton for 6 months, recorded present on the only company muster roll dated at Meridian, December 31, 1864, no other records

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