I email daily with the mother of my 14 month old girl who won't eat any veggies for me or for her Mom. We're trying tricks like puree the veggies and put them into the meatloaf and pasta sauce and breads. She will eat breads and proteins and loves fruit at least. It is so difficult when you have a picky eater, I feel your pain! I always serve 2 veggies for lunch with a bread & a protein item, then fruit after.

So I just put about a tablespoon of the veggies on her plate and hope that someday she will eat a little and find out they are not so bad. But children at my daycare are definitely going to sit at the table together for the entire meal and I am definitely going to keep giving them the things I cook daily. If they want to be fussy and get really hungry then I figure they will eat when their stomachs start growling.

Just my opinions, but you should make her sit in the high chair for every meal whether she eats or not (I use all boosters on my chairs) and you should be working with the parents to see how she does at daycare and home.