Chester's historical society is just starting to become active as a museum community, but it shows a lot of promise. In 2010, they expanded their office building on the Pattaconk River to host a new museum. Called the Chester Museum at the Mill, it hosts a permanent exhibit on the life of the town and a temporary exhibit on the town's participation in the Civil War. I haven't had the chance to visit the museum yet, but it's already winning a lot of awards.
While it's not clear from the website, the Chester Historical Society is working hard to preserve local history. They've recently scheduled several programs retelling life in the 40s and 50s. I suspect they've gathered more than even I know about. If you're interested in Chester, give them a call!