You can also find the Dibdin text and a nice MIDI at Leslie Nelson's site The Contemplator: The Jolly Young Waterman. Nelson cites as source One Hundred Songs of England (1914), edited by Granville Bantock. It is song #88.

Zierke's page gives one link to the text in probably more authentic form (pub. 1828) and it must surely also be in one of Thomas Dibdin's even earlier collections of the various Dibdin's songs, available online at Google Books—sadly, none with music.