How about "found a peanut?
Found a peanut (x2)
Found a peanut last night
Last night, when I was sleeping
Found a peanut last night?

It was rotten (x2)
It was rotten last night
Last night when i was sleeping
It was rotten last night

(each verse follows same pattern)
Ate it any way

Got sick

Died

I was dreaming

with several varients, some longer--
Very similar to the "the tree is in the Hole" (american)
and "Down in the boggy Oh" (irish)

The tree is in the hole, the hole is in the ground
and the green grass grows all around, all around,
the green grass grows all around...

The tree down in the boggy oh--
Away down in the boggy oh...
Bog, bog, the boggy oh
away down in the boggy oh!

(the tree has a branch,.... the finest branch you ever did see.., the branch is on the tree, the tree is in the hole,
the hole is in the ground...

the tree has a limb, the limb is on the branch, the branch is on the tree, the tree is in the boggy , away down in the boggy oh..
right down to the eyelash on a fledgling...

and
There was an old woman who swallowed a fly,
I don't know why she swallowed a fly
perhaps she'll die?

there was an old women who shallowed a spider
It wiggled and giggled and tiggled insider her
she swallowed the spider to catch the fly,
But i don't know why she swallowed the fly
Perhaps she'll die

there was an old woman who swallowed a bird
How absurd to swallow a bird,
she swallowed the bird to peck at the spider....(repeat words from above.)

there was an old woman who swallowe a cat
Image that, she swallowed a cat!
she swallowed the cat to worry the bird...

there was an old woman who swallowed a dog
What a hog to swallow a dog..
she swallowed the dog to chase the cat.

there was an old woman who swallowed a cow..
I dont know how she swallowed a cow...
she swallowed the cow to kick the dog....

There was an old woman who swallowed a goat
She just opened her throat, and swallowed a goat
She swallowed the goat to nip at the cow,
But i don't now how she swallowed a cow!
She swallowed the cow to kick the dog....

there was an old woman who swallowed a horse!
She died! Of course!


and from Woody Guthry
I'm being swallowed
by a boa constricter, (3 times)
and i don't like it very much!

Oh no, there goes my toe

Oh gee its up to my knee

Oh fiddle, its reached my middle

Oh heck, its up to my neck

Of Fred it swallowed my (GULP!)