Frank is surmising/generalising when he refers to broadsides. As far as I know there are no broadsides other than the Hook one which is probably just a reprint of the stage version I mentioned. If indeed it did originate as a burlesque it probably had its origin in some mid 18th century stage production along with its counterpart 'Lord Lovell'.

As I've stated on other threads, one man's burlesque is another man's serious song. In the 19th century these burlesques existed on broadsides and in sheet music alongside their serious counterparts, and in some cases what was collected in the early 20th century was a burlesque having become a serious song again. A good example is Sam Cowell's 'Ah my Love's Dead' which eventually morphed into 'I never will marry' but the version often sung in folk clubs today is actually Cowell's burlesque with its 'shrimps swimming over her head'. Some versions of 'William Taylor' are also the burlesque version.