My husband has told me that as a little boy, he was often bounced on the knee of his grandmother, Catherine Donohue McKenna's, born in Ireland, to the words of:
"Up, up little horsie, Up, up again,
How many miles to Dublin,
Three score and ten.
Will I be back by candlelight?
Yes, and back again."

My husband bounced our boys, now, 32 and 28, on his knees to the same rhyme.