Do you suppose, anyone, that this little bit of doggeral we used to play "on the black notes" of our family organ could have come from the version above (and ilka day sho laid twa eggs, and sum days thrie)? Tune starts on the highest note of the group of three black notes- with your right hand,work your way down the scale(one note for each word or syllable,playing the bass note (the lefthand note of the group of two keys with the left hand, alternately between each key played with the right hand). Does this make sense?!!! Here 'tis:

Grand-ma had an old grey hen, she
Laid be-hind the door;
And ev-ry day she laid three eggs-
On Sun-day she laid four!
On Sun-day she laid four.

And, when you get to, On Sun-day she laid four, cross your right hand over your left and play the three notes below the bass, left to right, that line and the repeat line. Very satisfying. But I never dreamed that it had any antecedants! I think that is the very first tune I ever played on the keyboard.