I don't like food very greasy so we picked the stir fry booth but if you look closely there is a BBQ booth on the left.
BBQ tends to be greasy. Next to the funnel cake booth is a hot dog booth and I'm guessy they were a little greasy.
We were at a pottery show last summer which included chocolate and wine tasting as well as the outdoor stands with meals where I took these shots. Since we were in the southeastern U.S. (Sanford, NC), I think it's a fair guess that Pop's diner below had at least some greasy food.