Sherwood Island State Park is a public recreation area on the shore of Long Island Sound in the Greens Farms section of Westport, Connecticut. The state park offers swimming, fishing, and other activities on 238 acres of beach, wetlands, and woodlands. Sherwood Island is numbered as Connecticut's first state park because state purchase of land at the si…Sherwood Island State Park is a public recreation area on the shore of Long Island Sound in the Greens Farms section of Westport, Connecticut. The state park offers swimming, fishing, and other activities on 238 acres of beach, wetlands, and woodlands. Sherwood Island is numbered as Connecticut's first state park because state purchase of land at the site began in 1914. The park is managed by the Connecticut Department of Energy and Environmental Protection.