First, kudos to you for being so health conscious with what you offer your daughter. She's a lucky girl. Veggies and fruits are great and you can't really eat too much of them (or at least it's hard). The fact that she's still hungry says to me that she craves something she needs that she's not getting. I don't know what your approach to fats is, but kids need a lot of good fats when they are developing. The brain is primarily cholesterol, after all. The key is they have to be good fats. Now, there is a lot of new research challenging the old ideas about what that means. Even mainstream dieticians are now saying real butter is better than any imitation. And kids need saturated fats. They don't need ones full of chemicals or additives or that have been processed with heat (which destroys the molecular structure, etc.) Some of the most interesting research concerns the difference in fat and cholesterol make-up in industrial meat , dairy, and eggs, vs. pastured/grass-fed meat, dairy and eggs. The omega 3's are much higher in the traditionally raised stuff and the nutritional breakdown is radically different. Just finding good eggs from a farmer that lets his/her chickens roam free would be a great first step. To read more on fats I suggest Sally Fallon and Mary Enig's work, or Michael Pollan's In Defense of Food. Oh, I think there's another book called Good Fats out there.
Please know that I am not suggesting you switch your child to a meat-heavy diet. Just that you look at possibly substituting other fats fr what she currently gets. For instance, whole milk for 1%--lots of additive go into reduced fat milk to make it palatable to the average American. It's not like they just skim most of the cream off, the way a farmer would.
Every parent has to read and decide what they think is best. Good luck!