There are numerous theories about the origin of the rhyme, including: James Orchard Halliwell’s suggestion that it was a corruption of ancient Greek, probably advanced as a result of a deliberate hoax; that it was connected with Hathor worship; that it refers to various constellations (Taurus, Canis Minor, etc. ); that it describes the Flight from Egypt; that it depicts Elizabeth, Lady Katherine Grey, and her relationships with the earls of Hertford and Leicester; that it deals with anti-clerical feeling over injunctions by Catholic priests for harder work; that it describes Katherine of Aragon (Katherine la Fidèle); Catherine, the wife of Peter the Great; Canton de Fidèle, a supposed governor of Calais and the game of cat (trap-ball). This profusion of unsupported explanations was satirised by J. R. R. Tolkien in his fictional explanations of ‘The Man in the Moon Stayed Up Too Late’. Most scholarly commentators consider these to be unproven and state that the verse is probably meant to be simply nonsense.
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