The town of New Providence is in the Bahamas Islands.
Hey! Show yourself!
Lt. Robert Maynard: Is there a problem gentlemen?
Snake Leavitt: You've been watchin' things you aint got no business watchin'!
Lt. Robert Maynard: Well, I can assure you there is only one thing I've been watching and that's a bottle of gin. Would you be so kind as to spare me a drink?
Israel Hands: ...
Gardiner's Island, traditional repository of Capt. Kidd's treasure, is not, as shown in this movie, in the Bahamas, but on the east end of Long Island, in the present state of New York. And Blackbeard's last battle and death didn't occur in the tropics, but off the coast of North Carolina.