Although the regiment was never at Vicksburg MS, prisoners of war from the 36th Alabama certainly could have been at the end of the war. The sequence of events went like this:

As the war came to an end, the 36th Alabama was serving in Holtzclaw's Brigade on the eastern shore of Mobile Bay. Confederates captured at Blakeley or Spanish Fort AL during late March and early April of 1865 were taken to Ship Island. On April 28, 1865, all these men were forwarded to New Orleans LA and thence to Vicksburg MS. I don't recall the name of the camp, but they were all paroled on the Big Black River on May 6, 1865. The names of many of these same men were included in the paroles at Gainesville AL or Meridian MS a few days later.