I suggest you obtain his service records [28 cards] as there is some confusing information such as rank, desertion, capture and transfer, about Nov. 63, which doesn't seem to have taken place. There is also a hand written letter regarding him, too faint to read on-line. These can be obtained through the service noted in the red enclosed box above. This file may very well be recording two separate fellows.

Noah M. Rayburn enlisted as a 2nd Corporal in Company K, 22nd Mississippi Infantry May 13, 1862 at Cornith, Mississippi, deserted on the march from Jackson July 18, 1863, present at the Sep./Oct 1863 muster having "rejoined from desertion," recorded on the subsequent muster as having been transferred, reduced to Private, n.d., advanced to Sergeant, n.d., recorded as "Absent in prison 16 Dec'r 64," captured near Spring Hill December 21, 1864, forwarded to Camp Chase, Ohio prison camp arriving January 6, 1865, swore to an Oath of Allegiance to the US June 12,1865, age 20, resident of Pontotoc County, Mississippi
[Compiled Service Records]

12 15 1864 Battle of Nashville
12 17 1864 Action at Franklin, TN, as Union cavalry under Brig. Gen. James H.

Wilson, USA, pursue the retreating Confederate Army
12 18 1864 Skirmish at Spring Hill, TN, with the Confederate Army of

Tennessee
[The Chronological Tracking of the American Civil War per the Official Records, Mosocco

There was also a

Noah Rayburn, 21 year old Merchant, resident of Dallas, Lafayette County, elected as a Brevet 2nd Lieutenant in Company A, 8th Mississippi Cavalry August 7, 1863 at Saressta[?], Mississippi, promoted 2nd Lieutenant February 9, 1864, killed in engagement in West Point raid February 21, 1864, Meridian, Mississippi Expedition