This man belonged to Powers' 14th Arkansas Regiment, which fought at Elkhorn Tavern (March 7-8, 1862) and crossed the Mississippi to join Beauregard's army at Corinth MS. You would do well to post this inquiry on the Arkansas message board.

In advance of a better answer, two things are fairly certain --

1) Like the vast majority of Confederate soldiers who never came home, this man died of disease.
2) Burial sites of Confederates who died in and around Corinth MS in 1862 are largely unknown.