Another good one - the capstan chantey "Paddy Lay Back," taking place on "the limey barque, the Hotspur." Not a disater song, though the sailor in the song has a disastrous time aboard this ship.Richard Grainger's "Scarborough Fisherman" tells of their dangerous task, and is a great song. No specific boat here, though, if that's what you're looking for.
-chanteyranger