These are different rhymes and could not possibly have been written by the same author. Humpty Dumpty was created, I think, by Lewis Carrol as part of the (Alice) saga. Several of the rhymes you mentioned- have mathematical overtones and may have been evolved as teaching devices- as was done with the alphabetic song ABC which was originally ( Bless This House). There was an odd sort of marching drill on the old TV show, if I remember correctly, Romper Room which had a song of sorts,(See me walk so straight and tall. I won"t let my basket fall, (not Basketball!) shoulders, straight, arms and kness, help to make a healthy me! This dragged on over three verses with a large class all wearing odd-looking tambourine shaped hats called ( Posture baskets) for the purposes of the song. It was so whacked out it never caught on -Freeside. One does recall seeing these odd-looking headgear in toy counters but nobody, or very few , bought them, a marked contrast with Mickey Mouse headgear. I"m sorry I can"t help you further Wheels on the Bus sounds like an updating of an older song about trains or buggies, perhaps even a western wagon.Sorry., that's the best I can dol.
Sarah Catherine Martin has written: 'The comic adventures of old Mother Hubbard and her dog' 'Old Mother Hubbard' -- subject(s): Accessible book, Chapbooks, Children's poetry, English, Dogs, English Nursery rhymes, English poetry, Illustrated children's books, Juvenile poetry, Miniature books, Nursery rhymes, Specimens, Women dog owners, Juvenile literature
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