Davisboro is a city in Washington County, Georgia, United States. Per the 2020 census, the population was 1,832. A post office called Davisbor…Davisboro is a city in Washington County, Georgia, United States. Per the 2020 census, the population was 1,832. A post office called Davisboro has been in operation since 1821. The community most likely was named after a pioneer settler with the surname Davis. The Georgia General Assembly incorporated the place in 1894 as the "Town of Davisboro".