Getting back to 'There's A Great Big Town That Nestles in the Midlands', after all this unwholesome discussion of skivvies undershirts, I learned part of it in 1964 from a Post Office Engineering supervisor who used to hang around the job I was working on (trying to spread culture by contstructing a BBC2 cable link to the Midland transmitter at Sutton Coldfield).
Cyril (for that was his name) taught me a few verses, including one which Steve Parkes omits:

Now the breezes blow across old Brum from Nechells,
Gently scented by the Gasworks as they blow.
If you've never caught the whiff of Saltley gasworks,
It's a smell you'd never, ever want to know.

Saltley Gasworks is, of course, long gone. Cyril taught me other verses, which my innate sense of propriety made me forget. I probably did pinch the end bit from Dominic or someone (not Harvey thingy!)