We had a slightly different one when I was a kid but I can only remember a little bit. I'm not sure if there any more to it.

The higher up the mountain, the greener grows the grass
Down came a billy goat, sliding on his...
Ask me no questions I'll tell you no lies,
I saw a (politically incorrect word for an Asian gentleman) doing up his...
Flies are a nuisance, bugs are worse,
That is the end of my little verse.

My Mum used to know it too!
Azizi, I think Willie the sheepdog was sitting on the grass.
Robyn