The ice cream was a good start Desdemona, perhaps if you squeezed in a hotdog (or at least a plate of french fries for the vegetarians - slathered in malt vinegar) you would be on the road to redemption.

Of course you do understand that allowing junk food like that once in awhile will not make a "200 lb ten-year-old".   The problem is that some parents do not offer balanced meals and feed their children regular diets of that crap. That is where the problem lies. There are usually other social problems involved as well. If you are doing a good job on a daily basis, which it sounds like you are, then you children will make the right choices.

Having a beer does not make a person an alcoholic.   Having a serving of fried dough or greasy food will not someone into an overweight slob.   

I understand your plight if your children are vegetarians, but I do not think that a country fair should be required to offer meals to all diets. Was their any kosher or Halal food?