Tune also known as Mr. Ramgoat, and "Haul 'er Away," as well as "Little Sally Racket."
Dana mentioned the shanty version in his 1840 book, "Two Years Before the Mast." See Traditional Ballad Index, ucfresno.
"Hill and Gully Ride Oh," the Jamaican song, may have nothing to do with whaling usage. It is a common expression for the troughs and crests on the sea as well as on land.
Does anyone have a recording that can be transcribed?