The author who gave the lyrics for this fun lovely rhyme "Doctor Foster" is unknown.
It is an English language nursery rhyme that has appeared in many anthologies since the nineteenth century.
The rhyme is based on a story of Edward I of England travelling to Gloucester, falling off his horse into a puddle, and refusing to return to the city thereafter.
Enjoy reading, singing here the rhyme Doctor Foster with Lyrics. Available for free download as well.