No. My 12th Louisiana research indicates that the men captured in September and October 1862 at Iuka and Corinth were paroled and released to their own army in northeastern Mississippi soon after hostilities ended. I'm not certain where they were held, but Confederate POWs were not shipped "up-river" to Union POW camps. Shortly after their return to their own side, the men were declared exchanged (an accounting process) and returned to duty. This was per the Dix-Hill Cartel of July 1862.

Can you can tell us what exactly this man's CMSR says? Or give me his name - I have a 1920 print copy of Booth's "Records" plus a copy of Sergeant Will Tunnard's history of the 3rd Louisiana Infantry which might help shed some light on your question.