PC/AHC: Successful Jamaican War of Indeoendence on the Era of Revolutions

How plausible would it be to have an independent Jamaica during the times of the Atlantic Revolutions (1770's to 1820's), successfully defeating Britain (most definitely with help) and establishing itself as Independent?

POD can go as far back as the War of Austrian Succession.
 
French give the British payback for Haiti? Or someone helping the Jamaicans out.

This might have to happen before the Haitian Revolution.
 
Top