John J. Lever has a military service file as a member of Co. "I", 31^st Mississippi Regiment. You can order a copy of this file, but I would not expect to find details about his death at Peachtree Creek. Confederate records towards the end of the war are often incomplete, but you can order what's there by clicking on the link at the top of this page.

If he was married, it's also possible this man's widow applied for a pension in his name.

In the battlefield map seen below, Featherston's Mississippi Brigade is depicted advanced over Tanyard Branch.