There is a website with brief info at:
http://gacsa.cobbslegion.com/units/2nd_bttn_sharpshooters.htm

It says "2nd Battalion, Georgia Sharpshooters
2nd Battalion Sharpshooters contained six companies and was formed in the summer of 1862. The men were from various sections of the state and some had seen prior service. It was assigned to General J.K. Jackson's Brigade and fought with distinction at Murfreesboro, Chickamauga, and Missionary Ridge. Later the unit was brigaded under General Gist and took an active part in the battles around Atlanta, Hood's Tennessee operations, and the North Carolina Campaign. In December, 1862, it contained 152 effectives, at Chickamauga 101 were present, and during December, 1863, the battalion totaled 80 men and 65 arms. Very few surrendered with the Army of Tennessee. Majors J.J. Cox and
Richard H. Whiteley were in command."
The 2nd Georgia Sharpshooters also appear in the OOB (Order of Battle) for several engagements at:
http://www.hardlink.net/~rlk/cw.html

Again, they are listed at:
http://www.fortunecity.com/victorian/pottery/1080/dallas_ga_25may64.htm

At the Battle of Bentonville at:
http://46th.tripod.com/bentonville.html

Also, when you find in which Georgia County each Company of the Battalion was formed in, look at each County on the GaGenWeb.
...hope this helps.....