It was fashionable to set nursery rhymes to music in the 1790s. One set of single sheet versions (of which I've seen only "Who killed poor Robin", "Heigh diddle diddle the cat and the fiddle", "Pussy cat, pussey cat, where have you been", and "Cock-a-doodle do.. My dame has lost here shoe") of at least 29, were said to be available from Samuel Arnold (the composer) as 'Juvenile Amusements'. In J. Hook's 'The Christmans Box' are his tunes for "Goosey, Goosey Gander", "Hot Cross Buns", "See saw Margery Daw", Three children sliding on the ice", "Little Jack Horner", "How dow my ladies garden grow", "Make a cake, make a cake bakers man", "Hushaby baby" and others. J. Dale issued "Tell tale tit", "Husaby Baby", "Little Jack Horner", "Goosey, Goosey Gander", and probably others I haven't seen. Somewhere buried in my old notes is the author and composer of "This is the house that Jack built", c 1800.