This is an excerpt from my book Florida and the American Revolution.

The final naval battle between British and Patriot forces took place off the Florida coast in March 1783. Robert Morris had arranged a shipload of Spanish gold and silver to be taken from Havana to Philadelphia. Captain John Barry sailed in the USS Alliance from Martinique to Havana and then onward to Newport, Rhode Island accompanied by the USS Duc De Lauzun commanded by Captain John Green. 

The HMS Sybil commanded by Captain James Vashon, the HMS Alarm and HMS Tobago engaged in battle against the American ships about 140 miles southeast of Cape Canaveral.  

After a prolonged shelling on both sides, which lasted 45 minutes (and included a sixth ship, the French frigate Triton) the battle ended with an American victory and about 40 dead on the Sybil, which along with its British companion boats sailed off in defeat. 

The American and French ships pursued the fleeing British fleet, but to no avail. The American ships then sailed to their destination.