"Red-Velvet-Steering-Wheel-Covered Driver" - surely that wasn't Jake Thackray? It was (and is) sung by Jeremy Taylor, and I'd assumed he wrote it. (Not a lot about Jeremy Taylor either onthe net that I could find - here's a bit I found: :

Jeremy Taylor. Here's an extract of a review, "Live at the Parkgate Hotel - Wirral, 18th June 1998" by David Jones from the Autumn 1998 edition of Folk North West:

"In the last issue, I described Roy Bailey as a legend in his own lifetime. Well, another artist who could easily shoulder that mantle is Jeremy Taylor. An Oxford graduate, former Eton schoolmaster, humourist/singer/songwriter and satirist, the list goes on... For more than thirty years, he's been travelling the world, with no shortage of colourful experiences to draw on... "Jeremy moved back to these shores in 1994, after living the previous 14 years in South Africa. He now tends his garden in rural mid-Wales, but his mind is still razor sharp, and he still holds audiences in the palm of his hand."

I can confirm that last bit, from seeing hgim at the last Walton Folk Festival, when he sanf Red Velvet Steering Wheel Ciover among others. Anyway, I reckon a thread asking about Jeremy Taylor is more likely to come up with the words you are after. (Walton Folk Festival is on again this year incidentally, in September. there's info about it on this page