While they're not strictly speaking parodies, there were a raft of songs written to that tune (often called "Which Nobody Can Deny".

One of my favorites (from the Beggar's Opera is:

Tho' laws were made for every degree
To curb vice in others as well as me
I woner I haven't better company
On Tyburn tree.

But gold from law can take out the sting
And if rich men, like me, were to swing
'Twould thin the lland such numbers to string
On Tyburn tree.