Ram Island is a small 20-acre island off the coast of Mystic, Connecticut. It is located in the Town of Stonington, approximately 1 mile offshore, between Mystic and Fishers Island. Once called Mystic Island, it was formerly the site of an exclusive Victorian era hotel resort at which steamships from Boston and New York City stopped twice a day. At t…Ram Island is a small 20-acre island off the coast of Mystic, Connecticut. It is located in the Town of Stonington, approximately 1 mile offshore, between Mystic and Fishers Island. Once called Mystic Island, it was formerly the site of an exclusive Victorian era hotel resort at which steamships from Boston and New York City stopped twice a day. At the height of its popularity, the hotel played host to a world lightweight bare-knuckle boxing championship. By the 1920s, the hotel had fallen into disrepair and was destroyed in the New England Hurricane of 1938. A motel was later built that catered to transient boaters.