Westville is an unincorporated community in Kershaw County, South Carolina, United States. It is part of the Columbia, South Carolina Metropolitan Statistical Area. Before Westville got its name, it was known only as the West Section. In 1888, resident John C. West applied for the establishment of a post office and became the first postmaster. This …Westville is an unincorporated community in Kershaw County, South Carolina, United States. It is part of the Columbia, South Carolina Metropolitan Statistical Area. Before Westville got its name, it was known only as the West Section. In 1888, resident John C. West applied for the establishment of a post office and became the first postmaster. This post office officially changed its name to Westville in 1890.