On the grounds of the borough of Fenwick. "Fenwick ... Middlesex County, Connecticut, ... in the town of Old Saybrook. The population was 52 at the 2000 census, making it the least populous municipality in Connecticut. It is a popular summer colon...It is located exactly where the Connecticut River flows into Long Island Sound. The town has two lighthouses, the Inner and the Outer. There is also a single private beach about a quarter of a mile away from the lighthouse." Wikipedia
It is very exclusive, with homes selling for millions of dollars. However, it has the oldest public golf course (9 holes) in Connecticut. I always thought it was an exclusive private course for residents. I will have to play it. :)