Duh, thanks Google!

I guess this solves the mystery. Dang it! We were both right.

To market, to market to buy a fat pig;
Home again, home again, jiggety-jig.
To market, to market, to buy a fat hog;
Home again, home again, jiggety-jog.

To market, to market, to buy a plum cake;
Home again, home again, market is late.
To market, to market, to buy a plum bun;
Home again, home again, market is done.

To market, to market, a gallop a trot,
To buy some meat to put in the pot;
Three pence a quarter, a groat a side,
If it hadn't been killed it must have died