I was an elementery librarian for 35 years and loved to use this one:
A wise old owl sat in an oak.
The more he saw, the less he spoke.
The less he spoke, the more he heard.
Why can't we all be like that wise old bird?
My grandma taught me that one, but the last line was 'Now wasn't he a wise old bird'
Another one I remember, but never remember the whole thing is:
One fine day in the middle of the night
Two dead men got up to fight
One blind man to call fair play, one dumb man to shout hurray
And it goes on.......
Also, and the spelling is going to be wrong but here goes:
When chapman billies leave the street,
And droothy neighbours, neighbours meet
As market days are wearing late
And folks begin to tak the gate
As we sit boozing at the nappy,
Getting foo and unco happy,
I think nay on the lang scots miles,
The mosses, water, slaps and styles,
That lay between ua and our haim,
Where sits our sulky sullen dame
Gather brow like gathering storm
Nursing her wrath to keep it warm
(Robert Burns - Tam O'Shanter)