The rhyme is quoted by Iona and Peter Opie in one of their books about childrens' games, songs etc. Only problem - can't find the book!

Their books are treasure houses of subversion e.g. the immortal lines parodying Harry Lauder's "I Love A Lassie":

I love an apple, a Co-operative apple
A nice big apple for my tea
You can cut it intae quarters
And gie it tae the squatters
Mary, my Scots bluebell