There was a John L. Lott in Company G (Covington Sharpshooters) of the 7th Battalion Mississippi Infantry (Terral's). Also in Company G were Absalom Lott, Jr., George F. Lott, Jesse B. Lott, Thomas W. Lott, and W.A. Lott. If these fellows look like yours, you can order their service records by clicking the link at the top of the page.
Good Luck
PS The link below has a good history of the Battalion.