The Original Goat Island?

As we all converge on Goat Island, I am wondering why there are so many islands in the world named Goat Island. Which one is the original Goat Island? I have only made a cursory attempt at answering this query. Anyone able to offer me a definitive answer will receive the beverage of his/her choice--either at this MLA, or a future MLA, if the answer comes from someone not in attendance.

Is it this Goat Island, the oldest state park in the U.S.A.?
What about this Goat Island?
You might be able to buy this Goat Island.
This Goat Island is also known as Mokuauia.
Goat Island is the former name of Yerba Buena Island, although the author of this encyclopedia entry was "not available."
Goat Island is the name of two different islands off the New Zealand coast!
Could the original Goat Island be an IBA (Important Bird Area)?
I know it isn't this particular Goat Island, but they have somehow managed to work the Google algorithm in their favor.

Goat Island Light

There is a lighthouse on the north end of Goat Island, and in true New England fashion it is known by several names: Newport Harbor Light, Goat Island Light, or simply The Green Light. At first glance, it almost looks like a prop, as if the Hyatt Regency Newport wanted to up the seaside charm quotient for its guests, but this little lighthouse has quite a history. According to the Newport Harbor Lighthouse History, there has been a light on Goat Island since January 1, 1824, and the light has been automated since 1963. The picket fence surrounding the current lighthouse was built in late 2006. I imagine there will be many photos taken of this little charmer during MLA, weather permitting. I hope no one goes over the fence and into the bay.