Providenciales island, Turks & Caicos, West Indies real or fantasy?

[Alex Island]

I found at auction these counterstamped coin, which seemed to me a fantasy. Or maybe they are real fakes? IP =(island Providenciales). What do you know about it? : 

(с) Caribbean french colonies coin, now part of the United Kingdom / Great Britain British Commonwealth.In colonial times, this island, located in the Turks and Caicos Islands, changed hands several times between the French, Spanish, and British!The island was known for cotton plantations and supplying the cod fisheries in New England and Canada in colonial times.This coin was countermarked when in control by France. Spain and Britain also had control of the island at various points in colonial times.Now hosting one of the best beaches in the world with world class diving, pirates used to hide here.

[Alex Island]

I found another option at the auction. What do you know about it? :

(с) Very old copper halfpenny of King William III dates to circa late 1600s-early 1700s (date is worn away). Lovely old countermark/ counterstamp initials "I.P" in a serrated rectangle. Obverse has been stamped twice with this mark. This is probably the stamp of an 18th century merchant with the initials J P and conceivably would have been recognized by people in the local area this coin circulated at that time.The countermark of initials I P within a heart is recognized as that of the Island Providenciales in the Turks and Caicos Islands and used in Caribbean commerce /trade, however I do not know if this stamp is connected to that one.

[brandm24]

I think this one is a merchant stamp by the style of it, Alex. While I don't ever recall seeing any like it, I've seen a number of the IP in Heart stamps. The style of this one is known as a primitive and likely doesn't date back to William lll. Late 1700s early 1800s is more likely. There are many primitive issues struck on American coins that also date to that era.

Bruce