In the 50s there were 2 BBC radio music programmes for junior schools. On Monday there was "Singing Together" and there was one on Thursdays which had a little more music theory to it as well as just singing. I can't remember its name. "Cook's Friend Emily" I'm fairly sure was one of the Thursday songs around 1957. There were 3 verses very much as Lorroy has put, except I think it was "Nice Dr Nelson." A couple of years ago a young music teacher friend of mine told me about this funny, old-fashioned song he was doing doing with juniors. He was amazed when I sang it to him!