My gg grandfather John Lee Dunn, 45th Tennessee was also wounded (3 times) in tha arm at the Battle of Stones River/Murfreesboro. His pension application says he was captured and paroled to go home, which was just outside Murfreesboro. It appears that a condition of the parole was that he stay there until the end of the war, which he did. I doubt he'd have been of much fighting value with a mangled arm.
Mike Thomasson