I think Les's verses are part of a skipping song rhyme

Many bits of song were used in this way so someone at some time had the fuller version of this song and was adopted as an introductory verse before the"Fish and chips and vinegar~~ which were knows as "the peppers" when the skipping rope was turned much quicker

I always remember the verse:
Little fat doctor how's your wife very well thank you thats alright,
She wont eat a bit of fish nor abit of liquorice, OUT spells out

possibly from a longer song or just a snippet made up for skipping
(current around 1955 ~ my sister!! may have had reference to Dr Crippen?)