In London in the late 40s it wasn't a Ballerina, it was
Teddy bear, teddy bear turn around
Teddy bear, teddy bear touch the ground
Teddy bear, teddy bear go up stairs
Teddy bear, teddy bear say your prayers (hold hands together)
Teddy bear, teddy bear turn out the light
Teddy bear, teddy bear say goodnight
Goodnight

I seem to remember doing it skipping in a long rope
Also at Junior school (age about 10)someone showed me this finger rhyme
This is the church (lock your hands together)
This is the steeple (point index fingers up, together)
open the door
and see all the people (with fingers still interlocked turn hands so that palms and finger are up)
Here is the parson going upstairs (two fingers climb a staircase of the knuckles of the other hand)
Here is the parson saying his prayers (hands together)