This is what I get for browsing the shelves in the Linguistics section of the UL. I found a book called The Linguistic Analysis of Jokes by Graham Ritchie (published in 2004). It's not interesting in itself, but it did have one joke in the appendix that I quite liked.
I'd written it out, and then I discovered that the author of the book actually got it from
www.jokesgallery.com, which meant I needn't have bothered.
So instead of writing it out, I present:
Silent Battle With The Pope.