mooman, the St. Ives rhyme sounds just what I learned, with a slight difference in the last line: "How many were going to St. Ives?" But this is more a riddle than an arithmetic song (the answer, of course, being... or shouldn't I tell?).

There are other songs I can think of with numbers of animals, but again they're not counting songs: Six Little Ducks; Three Little Kittens; Three Blind Mice. Then there is a counting song (but NOT with numbers) for toes: This little piggy went to market, this little piggy stayed home, etc.

Isn't there a counting-down song with a mother duck mourning the loss of all her offspring in the next-to-last verse, then finding them all in the last verse?

SharonA