Catcher made his point, as usual; and you are right, as always.
The "cow" version (not sure if it is Cow A or Cow B) of the song:
Old MacDonald had a farm, E-I-E-I-O.
And on that farm he had a cow, E-I-E-I-O.
With a moo moo here and a moo moo there
Here a moo, there a moo, everywhere a moo moo
Old MacDonald had a farm, E-I-E-I-O.