I checked a couple of names from the referenced website and found good agreement. Unfortunately, my access to on-line records do not contain the roster of men in the regiment with the surname starting with the letter 'L'.

George Martin

Pvt. Oliver C. Howard, enlisted in Company D, May 7, 1862 at Brookhaven, Miss.

Pvt. L. A. B. Pace, enlisted in Co. G, August 6, 1862 at Brookhaven, Miss.

Pvt. B. F. Graham, enlisted in Co. I, August 6, 1862 at Brook Haven

Pvt. James M.Tyner[Tyler], enlisted in Company D, August 6, 1862 at Brook Haven, Miss.