Roger Jenken (featuring Ken Langsbury) sing one version of this with the line 'gaping wide-mouthed bullocking frog' which I had the impression that Ken wrote or adapted. I recorded Ken singing it with The Songwainers at Sidmouth in 2004, but with a slightly different arrangement.

The last lines go:
The dogs did bark, the children laughed,
The mayor of Gloucester he did scoff,
at the gaping wide-mouthed bullocking frog'.