At one time, the roadside icon Stuckey’s was often a likely stop. “At our peak, we had 368 stores in 40 states,” says Stephanie Stuckey, current chair of the Stuckey’s Corporation.

The farm “shows what life was like in rural Georgia in the 1930s,” Stuckey said. Inside the school, Stuckey pointed to a classroom with little desks in a row. “This would’ve been a typical ...