The problems in finding the right wreck (unless they can find approprate artifacts) are that no one knows much about the ship. She was a former French Indiaman, but references to her dimensions are references to ships that were thought to be similar. And there is no shortage of wrecks around Flamborough Head.

I'll see what I can find out about Serapis, but she was a class of ship that the French didn't really want and she was pretty beaten up in the action.