Oooops!

Sifakis records the 3rd Georgia Cavalry at Perryville, October 8, 1862 after noting “The majority of the regiment was captured at New Haven, Ky. on September 29, 1862. Exchanged in the summer of 1863.”

Compendium of the Confederate Armiew
South Carolina and Georgia
Stewart Sifakis p. 152

I believe, however, just about all the Field Officers were captured at New Haven