Damascus is a city in Early County, Georgia, United States. The population was 212 in the 2020 census, down from 254 in the 2010 c…Damascus is a city in Early County, Georgia, United States. The population was 212 in the 2020 census, down from 254 in the 2010 census. An early variant name was Kestler. An act of Georgia General Assembly officially changed the name to Damascus in 1914. The present name is a transfer from nearby Old Damascus, which it was named for Damascus, Syria. Old Damascus would be bypassed when a new railroad line was being built through the area.