Rolf Harris did a version of this on the MFP album 'Altogether Now' which I've mentioned before on these pages.
From memory, it's very similar to the version Kendall quotes above, but with variations like:

'I'll be hanged if they're gonna hang me,
I'll be hanged if they'll hang me from a tree;
I've got so darned used to livin'
Even if I ain't forgiven -
I'll be hanged if they're gonna hang me...

If anyone's interested I could dig the album out and transcribe the full version.