I'll bet there are countless variations of this. The more, the merrier, I say. I grew up with a version by Burl Ives called Three Jolly Huntsmen. I see some definite similarities.

Three Jolly Huntsmen

Ah, three jolly huntsmen,
A-hunting we did go,
We whoop and we holler
And we blow our horns also
Lookey there now!

We whooped and we hollered
And the first thing we did find:
A barn on a hill
And that we left behind
Lookey there now!

One said it was a barn,
One said nay,
One said it was the church
With the steeple cut away,
Lookey there now!

We whooped and we hollered
And the next thing we did find:
A bull-calf in a pen
And that we left behind
Lookey there now!

One said it was a calf,
One said nay,
One said a painted jackass
That never learned to bray,
Lookey there now!

We whooped and we hollered
And the next thing we did find:
Some children leaving school,
These we left behind
Lookey there now!

One said that they were children,
One said nay,
They’re only little angels,
Leave them to their play,
Lookey there now!

We whooped and we hollered
And the next thing we did find:
A pig in the ditch,
And that we left behind
Lookey there now!

One said it was a pig,
One said nay,
One said a politician,
With his clothes stole away,
Lookey there now!

We whooped and we hollered
And the next thing we did find:
A frog in the well
And him we left behind
Lookey there now!

One said it was a frog,
One said nay,
One said it was a jaybird
With the feathers plucked away,
Lookey there now!

We whooped and we hollered
And the next thing we did find:
The moon in the trees
And that we left behind
Lookey there now!

One said it was the moon,
One said nay,
One said it was a cheese
With the half cut away,
Lookey there now!

We whooped and we hollered
And the next thing we did find:
Two lovers in the lane
These we left behind
Lookey there now!

One said they were two lovers,
One said nay,
They’re just two wand’ring lunatics
Let them go their way,
Lookey there now!

We whooped and we hollered
And the next thing we did find:
An owl in the tree
And that we left behind
Lookey there now!

One said it was an owl,
One said nay,
One said it was a ghost,
We all ran away,
Lookey there now!