I suspect that he died either at Tupelo or Cornith per history of regiment, see below:
George Martin
Sparks, NV
The Thirty-third was organized at Pensacola in April 1862, and proceeded to Corinth just after the battle of Shiloh. Placed in the brigade commanded by Col. Hawthorn of Arkansas, the regiment remained at Tupelo till the Kentucky campaign was entered on. It was part of the brigade of Gen. Wood of Lauderdale, and in Buckner's division, and was present at the capture of Mumfordsville.