It's not at all surprising that such a song would undergo some changes:

"The red potato, that agitator, [pronounced:red potatUH,that agitatUH]
Shook the shimmy with the sweet tomato,"

Here the "potato" and the "tomato" have been tossed about, and I would urge restoring them to the original order.

Where did you pick up the song?

I first heard a version on a Steve Goodman recording back in the 1970's, but the original lyrics go way back to the early 1900's with the original Holy Molly Rounders.

Cheerily,
Charley Noble