Flemington is a city in Liberty County, Georgia, United States. It is a part of the Hinesville-Fort Stewart metropolitan statistical area. The populati…Flemington is a city in Liberty County, Georgia, United States. It is a part of the Hinesville-Fort Stewart metropolitan statistical area. The population was 825 in 2020. A post office called Flemington was established in 1889, and remained in operation until 1966. The community was named after William Fleming, a pioneer settler. The Georgia General Assembly incorporated Flemington in 1941.