According to the Internet source given above, it was recorded by Swan Arcade on "Voices. Traditional English Songs" (1991)
Paul Adams wrote that
This shanty is interesting because as an aetiological work song it is probably unique in the English Tradition and it was collected by the greatest of the folk song collectors, Cecil Sharp on the 3rd June, 1914 from Capt. Hole, of Watchet, Somerset (the famous Watchet sailor!
This song may be found in the Tyneside Maritime Chorus songbook but not yet in my personal repertoire

Lyrics