That's always a possibility. I'm just not seeing anything. Of course, he just might not be listed. I've come across that quite often as well.

If we just go by initials, there is:

E. A. Wright
Regiment Name 14th North Carolina Infantry.
Side Confederate
Company G
Soldier's Rank_In Private
Soldier's Rank_Out Private
Alternate Name
Notes
Film Number M230 roll 43

But nothing for an A.E. Wright or Adolphus.