One of the most famous ships in the war of 1812 was the frigate USS Constitution (Old Ironsides), commissioned in 1797. During that war she was quite famous for defeating four British ships of the line; HMS Guerriere, HMS Java, the HMS Cyane & HMS Levant. The victory over the Guerriere in particular was much celebrated in the former colony.
I'd bet that if you researched contemporary art of the period you might find a painting resembling the engraving.
dave