Here's one I remember from a children's record on (I believe) The People's Record label. It told of a little child who got lost and sang this song. Throughout the record s/he sang the refrain until finally found.

I'll sing you one, oh
Every day we grow I O

What is your one, oh?

Refrain:
One is one and all alone
And ever more shall be so

Two, two for two pretty eyes
Looking at the wide world, oh

Three, three for daddy, mommy, and me

Four's for the wheels on automobiles

Five for the fingers on each hand

Last refrain:
One is one and NOT alone
And NEVER more shall be, oh

It also had "Misty, Moisty Was the Morn" with a tune I've never heard since. Fireside Children's Songs states "This is the first stanza of a 17th century ballad entitled

"The Wiltshire Wedding Between Daniel Do Well and Doll the Dairy Maid With the Consent of Her Father, Leather Coat and Her Dear and Tender Mother Plodwell"

(BTW I have 9 of the 15 verses of the aforementioned, and definately not to be typed again, ballad) I see my notation mentions that Steeleye Span must have done this too.

Misty, moisty was the morn
Chilly was the weather
There I met an old man
Dressed all in leather
Dressed all in leather with cap under his chin
With a how-do-you-do?
And a how-do-you-do?
And a how-do-you-do again?
With a how-do-you-do?
And a how-do-you-do?
And a how-do-you-do again?

and another short little ditty:

Oh, my father owns a butcher shop,
My mother cuts the meat
And I'm the little Hot Dog
That runs around the street

judy