Sarepta is a town in Webster Parish, Louisiana, United States. The population was 891 at the 2010 census. It is part of the Minden Micropolitan Statistical Area. Sarepta was named for the town's first church's benefactor, Sarepta Carter. Local history tells that Mrs. Carter donated a Bible to the community church on the premise that it be na…Sarepta is a town in Webster Parish, Louisiana, United States. The population was 891 at the 2010 census. It is part of the Minden Micropolitan Statistical Area. Sarepta was named for the town's first church's benefactor, Sarepta Carter. Local history tells that Mrs. Carter donated a Bible to the community church on the premise that it be named for her. Years later the church split, and the original name became Old Sarepta. The new congregation became New Sarepta.