According to his CSR, Captain Hart and other members of the batter were taken as Prisioners of War first to St. Louis Missour and then moved to Camp Chase, Ohio, arrinve there on Jan 29, 1863. The POWs were moved next to Camp Delaware, Del, on April 25, 1863, and were forwarded for exchange April 29, 1863. They were received at City Point Virginia, May 4 1863.
This is simular to the members of the 19th, 24th and Crawfords battalion that were capture at Arkansas Post. Do you know if Harts men were incorporated into that part of the 19th/24th which remained with the Army of Tennesee, or did they travel back to Arkansas as Hart apparently did?