Oh site is too cool. Here’s one from my elementary days (PS.70 in the Bronx)

Ms. Mary Mack, Mack, Mack
All dressed in Black, black, black.
With silver buttons, buttons, buttons
All down her back, back, back.
She asked her mother, mother, mother.
For 15 cents, cents, cents.
To see the elephants, elephants, elephants.
Jump over the fence, fence, fence.
He jumped so high, high, high.
That he reached the sky, sky, sky
and he never came back, back, back
‘Til the 4th of July, lie, lie.

And also,

Grandma, Grandma sick in bed
called the doctor and the doctor said
Grandma, Grandma you ain’t sick
all you need is a hickory stick
hands up, shake it, shake it, shakity shake (*hand directions*)
hands down, shake it, shake it, shakity shake
to the front to the back to the side, side, side (*jumping directions*
to the front to the back to the side, side, side
I never went to college, I never went to school
but I bet you five dollars I could shake it like a fool.