This is another song but thought I'd share it.

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There was a little rooster by the barnyard gate,
And that little rooster was my playmate,
And that little rooster went cockle doodle doo,
Dee doodle, dee doodle, dee doodle dee doo.

There was a little cow by the barnyard gate,
And that little cow was my playmate,
And that little cow went moo moo moo,
And that little rooster went cockle doodle doo,
Dee doodle, dee doodle, dee doodle dee doo.

There was a little sheep by the barnyard gate,
And that little sheep was my playmate,
And that little sheep went bah bah bah,
And that little cow went moo moo moo,
And that little rooster went cockle doodle doo,
Dee doodle, dee doodle, dee doodle dee doo.
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You continue on adding animals: cat, dog, horse, pig, duck, etc.
Don't know where it came from, it is another song my Daddy sang, my favorite as a small child and one kids still love.