I don't know if this is your man but yes a Jesus Garcia was in Company A, 33rd Texas Cavalry. Also, a Jesus Garcia was in Company E, Benavides Regiment Texas Cavalry.They may be one and the same man. Did your Jesus Garcia have a wife named Mary living in Atascosa area at sometime. If so she had a Texas Pension App. on record.
I also saw a Jose Maria Garcia in the 33rd more family?
I hope this helps,
Gary D. Bray