Can we just clarify this? On my copy of 'Leviathan', Lloyd gives the title 'The Weary Whaling Grounds' to the song beginning "If I had the wings of a gull, my boys...."

'The Whaleman's Lament' is also on the LP, and it finishes with the lines:
"The pleasures they are but few my boys
On them bitter whaling grounds."

Only the former has has a modal tune. We're probably talking about the same two songs, but I don't have a copy of Huntington so I thought I'd better check.