Hi E.,
Like many of the other moms have said, you might wish to try making sure she has plenty to do during the day so that she doesn't get bored. People tend to eat when they get bored, lord knows I do :) If you keep her active with things she likes (whether its physically active, or just reading and playing with toys) they will keep busy and keep her mind off of food. Also, if that doesn't work, she may truly be hungry, and in that case its what you feed them not really how much. Try giving her water, because that fills up an empty tummy, and also try negative calorie foods (like celery and cucumbers -- there is a whole list of fruits and vegetables online) actually take more calories to chew and digest than are in the foods in the first place. That way, you don't have to feel like you are depriving your daughter, and the vitamins in those foods certainly won't hurt :) Good luck :)