I compared the roster for R.W. Lee's Battery to the roster of the 1st Cherokee Mtd. Volunteers. The following are on both.

Forrester, Henry orderly sgt Co. A
Vann, John R. orderly sgt Co. G

Alberty, George W. Private Co. I
Arseenee Private Co. D
Bacon, Bailey Private Co. G
Benge, Samuel Private Co. C
Bigby, Thomas W. Private Co. G
Brower, James Private Co. D
Crittenden, James Private Co. G
Doghead, John Private Co. E
Marshall, John Private Co. E
Phillips, William Private Co. H
Smith, McCoy Private Co. C

There are several other names that are Cherokee surnames or likely Cherokee names that are not on the 1st Cher. roster that I have:

Bacon, John
Brush
Hicks, Charles
Ootlenowi
Proctor, Isaac
Rider Cloud