Adam's Brigade was part of Loring's Div. Stewaart's Corp. They were on the extreme right of the line of Confederate infantry initially(only Buford's troops ofForrest Cav to their right).
They left wheeled and hit the Union lines about on the immediate right of Cleburne's men. (this would be close to the cotton gin)They hit the part of the line defended by Casement and possibly Reilly.
I do not see him listed in the McGavock Cem list. Will look again in a bit in case I missed it. Do a search here on the message boards as Lorenzo's name sounds familiar.
Also, you might want to contact Eric Jacobson or Tim Burgess, (email's can be found here) or Tom Cartwright or David Fraley at the Carter House as they have more indepth information on the battle.

Virgiul