Luthersville is a city in Meriwether County, Georgia, United States. The population was 776 at the 2020 census, down from 874 in 2010. The …Luthersville is a city in Meriwether County, Georgia, United States. The population was 776 at the 2020 census, down from 874 in 2010. The Georgia General Assembly incorporated Luthersville as a town in 1872. The community was named after the 16th-century German reformer Martin Luther.