I remember almost all of these learnt from the radio and sung by us with appropriate regional accents. A favourite (not mentioned yet I think) was 'Wot a mourf, wot a mourf, wot a norf an sourf - Blimey wot a mourf ee's got'.
When I was part of a folk group we did a round the UK set with Cosher Bailly for Wales, the above for London, Ilkly Moor for Yorkshire etc. and a separate Scottish street songs set with 'Cannae SHOVE (not push) Yer Granny' The wind blows high, Brother Bill was a fireman bold, A'm no the factor or the Gasman, One to three a leary, I love a sausage, a Co-operative sausage'. We did of course do many more serious folk songs but these funny ones were well received and the audience could all join in.
One of our favourites for back seat of the car singing was Itsy, Bitsy, Teeny, Weeny Yellow Polka Dot Bikini.