I love Cluck Old Hen and I force it on my students.
It is one of the simplest, yet infectious songs I know. There are lots of versions but I originally learned it from the Seeger family, Pete and Mike both have recordings of this song. Here is what I taught our NB classes, to their great chagrin!
Cluck old hen, cluck and sing
Aint laid an egg since late last spring
Cluck old hen, cluck and squall
Ain laid an egg since late last fall.
My old hen's she's a good ol hen
She lays eggs for family and friend
Sometimes one, sometimes two
Sometimes enough for me and you!
The old hen she cackled
She cackled in the lot
Next time she cackled
She cackled in the pot
Cluck Old Hen is one version by the wonderful Aubrey Atwater.