I'm unable to locate any record that this man lived in Alabama after the war. If he and James McCluskey (same regiment and company) are related, both appear to be itinerant Irish laborers who came to Eufaula for short-term work. Based on their service files, both men completed their first term of service (twelve months) and left after January 1862. Records of other itinerant Irishmen enlisting in Confederate service often show that after a brief term in the army, they found passage to a large Northern city or went back to Great Britain.
Other Confederate veterans from Alabama are named John McCluskey. Are you certain about this 1st Alabama connection? If they are Barbour County residents, when did the family return to that area?