The Woods at Ridgeway Apartments for rent in Memphis, TN on ForRent.com: (877) 633-9809 - Availability, pricing and special promotions subject to change daily. The Woods at Ridgeway is a beautiful community with 1,2 and 3 bedroom apartment homes in Southeast Memphis, TN that is conveniently located near schools, shopping restaurants. Schools - Windridge Elem., Hickory Ridge Middle, Kirby High.