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!