I believe I may know where John K. Burk lived in Georgia. A George Adcock gave John K. Burk a gift of a horse and saddle in Morgan County Georgia. I am not sure of the date but it was before 1835.
I assumed the Adcock man was his grandfather but not sure, I ran across it in the Deed books. If you know anything on this man, please contact me, I believe this man was connected to my Burk line who later migrated from Georgia to Alabama and some later went on to Ark and Tex.