So interesting to see the different versions! I've recently been trying to recall all details of this little rhyming game we played with a pink Spaulding ball. Thank you for helping me remember the few lines I was missing!
Our solitaire ball game was very similar to "GUEST Mark"'s ^.

In Fordham Hill in the Bronx, NY; mid-1960s:

A mimsy
A clapsy
I roll my hands
Touch back-sy
My right hand
My left hand
High as the sky
Low as the sea
I touch my knee
And my heal
And my toe
Now over we go!