On re-reading this thread I see that it is not a specific wedding song that is sought (is that the sound of Roger barking [berking?] up the wrong tree again?). I could suggest the Dudley Canal Tunnel Song but the chorus "Push, Boys, Push" may be inappropriate for a wedding!
My other suggestion would be Birmingham Jack of All Trades which mentions all the trades the West Midlands was famous for. Tho' it is a bit long. I think (but haven't checked) both are in the DT. If not, pm me and I'll cut 'n' paste the words.

RtS
(always a bit of a berk -and the wife is from Bucks!))