I only collected data about soldiers that were in Company F. It looks like your guy was in Company H, so I wouldn't have anything specific on him.
Not sure if you're anywhere near the National Archives in D.C., but that's where this microfilm is held. The whole regiment is listed together, alphabetically. Most will have some listings for when they were on the monthly rolls and if they deserted. A few will even have pertinent letters or other records on file. You might find an age, or hometown, but that's a longshot based on what I've seen of these records.
Don