Answer: 
 
Bon Homme Richard and Serapis is the right answer. 
 
Explanation: 
 
The most prominent single ship engagement of the American Revolution began on 23rd September 1779. It was a duel between the John Paul Jones command, Bonne Homme Richard and the HMS Serapis. The Serapis was a fifty gunship that gunned out the Bonne Homme Richard which was scarcely navigable. 
 
I believe correct me if I am wrong but am very sure my answer is correct. 
 
Good luck :D ;p