POW records indicate George Triplett Moorman was a member of the McCowan Artillery. This unit is also noted in his service records with Company A, 1st. Tenn. Heavy Artillery Regiment.

http://www.tngennet.org/civilwar/csaart/hart1.html

Moorman first entered state service in Missouri, copy & paste and click on "view records" at this link.
http://www.sos.mo.gov/archives/soldiers/details.asp?id=S407268&conflict=Civil%20War&txtName=moorman&selConflict=Civil%20War&txtUnit=&rbBranch=all

Copies of this soldier's records are available at the top of this page.