Paw Paw is a town in Morgan County, West Virginia, United States. The population was 524 at the 2000 census. The town is known for the nearby Paw Paw Tunnel. Paw Paw was incorporated by the Circuit Court of Morgan County on April 8, 1891 and named for the paw paw, a wild fruit which formerly grew in abundance throughout this region. Paw Paw apartments for rent comparison page shows most up to date rent information on Paw Paw apartments and houses. Rent information is obtained from multiple rental sources but we cannot guarantee their accuracy.