I remember a children's song very like oneof the above versions, from one of those not-as-big records, maybe Peggy Seeger?
[... googling...]
Yes!

And We Hunted and We Hunted
This song is by Peggy Seeger and appears on the album Animal Folk Songs for Children (1957).

And we hunted and we hunted and we hunted and we found
A pig in the lane and it we left behind
Look 'ee there!
Some said it was a pig but others said nay
Some said it was an elephant with its snout shot away
Look 'ee there!

And we hunted and we hunted and we hunted and we found
A frog in the well and him we left behind
Look 'ee there!
Some said it was a frog but others said nay
Some said it was a canary with his feathers washed away
Look 'ee there!

And we hunted and we hunted and we hunted and we found
An owl in an ivy bush and it we left behind
Look 'ee there!
Some said it was an owl but others said nay
Some said it was the devil and we all ran away
Look 'ee there!

And we hunted and we hunted and we hunted and we found
A barn in the meadow and it we left behind
Look 'ee there!
Some said it was a barn and others said nay
Some said it was a church with the steeple washed away
Look 'ee there!

And we hunted and we hunted and we hunted and we found
A ship in full sail and it we left behind
Look 'ee there!
Some said it was a ship and others said nay
Some said it was a washtub with the clothes up to dry
Look 'ee there!

And we hunted and we hunted and we hunted and we found
A ball in the road and it we left behind
Look 'ee there!
Some said it was a ball and others said nay
Some said it was a turtle with its legs stucked away
Look 'ee there!

And we hunted and we hunted and we hunted and we found
A child in a bed and it we left behind
Look 'ee there!
Some said it was a child and others said nay
Some said it was a pony gone to sleep on the hay
Look 'ee there!