The 1820& 1830 census of Lawrence Co., Ms lists a George Albritton with 8 children of which 4 are female. This is the only Albritton listed in Lawrence Co. Most likely this is the father of your Martha. Where this George came from has not been determined. However, he is believed to be a son of George Albritton of Burke Co., GA and Pitt Co., NC and a grandson of James The Saddler. George of Burke Co., GA died around 1810-15 in GA. Maybe there are others on the Net with information about this George.