For starters you can investigate these three men who I located in the CW Research Data Base. However, be advised, there are other Page men who are listed by the initial only of their given names who might be who you are seeking.
Mathew Page Co. E, 4th MS Cavalry
-do- Co. D, Hughe's Bn. Part. Cavalry
Joshua Page Co. G, 6th MS Infantry
Abraham Page Co. E, 36th MS Infantry
One way to narrow your search would be to find out what counties these companies were raised from.