Believe this is your man.

A SKETCH or THE BOYHOOD DAYS OF ANDREW J. ANDREWS,
of Gloucester County, Virginia, and
HIS EXPERIENCE AS A SOLDIER IN THE LATE WAR BETWEEN THE STATES.

https://ia801404.us.archive.org/31/items/sketchofboyhoodd00andr/sketchofboyhoodd00andr.pdf

………

He also may have served in:

3rd Co. Howitzers VA Light Artillery Battery
Richmond Howitzers 2nd VA Light Artillery Battery
1st VA Light Artillery Battaliond