Conanicut Light is also known as North Light.  It’s on the north end of Conanicut Island which is the Island Jamestown is on.  It’s retired and the light has been removed, it’s now just a private residence.  Access is restricted to looking over their fence from the road if or shooting from Quonset point with a really long lens if you go by Land.  By sea is probably the best option for this location.

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