Gosh ,I guess there are so many versions of all these. Here is what I remember:
Cee Cee my playmate,
come out and play with me
and bring your dollies three,
climb up my apple tree.
Slide down my rainbow
into my cellar door
and we’ll be jolly friends
forever more more, shut the door!

and how about:
Not last nite but the nite before,
24 robbers came knocking at my door
as i ran out, They ran in
hit me on the head with a bowling pin
I asked them what they wanted and this is what they said.
Spanish dancers turn around,
Spanish dancers touch the ground
etc, etc etc.

And:
My sailor went to sea sea sea
to see what he could see see see
but all that he could see see see
was the bottom of the deep blue sea sea sea.

The reason I am on here is because I am trying to find the rules for chinese jumprope. I remember about the first 4 or 5 things you do but I draw a blank after that. Anyone??