I believe this is the song Deborah Lott was looking for – found at the website SingingGamesForChildren.com:
[That web page also shows musical notation and chords.]


THE FARMER’S GEESE
[MIDI file] – [YouTube video]

Another song from ‘60 songs for little children’ published in the 1950s. It was inspired by the German song ‘Was haben wir Gänse’ and written by Frances B. Wood.

There once was a farmer who had three geese,
Three fine geese.
They waddled o’er the field beyond
The yard to reach their muddy pond.
One, two three,
Three very, very fine grey geese.

Now sly Mister Fox was a-hiding near
In the wood.
He laughed “Ha, ha, why now I see
A splendid dinner waiting me.
One, two three,
Three very, very fine grey geese.”

Then nearer and nearer the grey geese came,
Quack! Quack! Quack!
And just as foxy was about
To jump, good Rover bounded out.
“Bow, wow, wow!
No dinner will you get just now!”