Come back Peter, come back Paul

Yesterday while burping the baby (in the three ways available - when I put the baby on my shoulder, I feel like I am banging the baby's nose on me, The second way of raising the baby and rubbing her back is my chosen one but not the baby's. She never wants to be burped and interruptions are not in her feeding script. The third way of putting her face down on the lap seems unthinkable), I said 'come back' and then I was reminded of Two Little Dickie Birds rhyme. In our Indian version, Dickie was elided.