Allenhurst is a city in Liberty County, Georgia, United States. It is a part of the Hinesville-Fort Stewart metropolitan statistical area. As of the 202…Allenhurst is a city in Liberty County, Georgia, United States. It is a part of the Hinesville-Fort Stewart metropolitan statistical area. As of the 2020 census, the city had a population of 816. Allenhurst was platted in 1910 by B. H. Allen, the proprietor of a local sawmill. A post office has been in operation since 1909.