Graham is a city in Appling County, Georgia, United States. The population was 263 in 2020. The community was named after J. H. G…Graham is a city in Appling County, Georgia, United States. The population was 263 in 2020. The community was named after J. H. Graham, an early settler. The city of Graham was incorporated locally in 1897. Graham was officially granted a charter by the state legislature in 1991.