Yes, my 15 month old (Alexa too!) is very much like this. She won't eat anything but fresh fruit, pasta, cheese and pizza. She refuses to drink cows milk but nurses often during the day and night. She had her 15 month appt. yesterday and the nurse told me the same, withold the drink and she will eat more. But like you said, easier said than done. She will just cry and throw the food until she gets what she wants. Wish I had some advice for you, just wanted to let you know you are not alone! Some advice I read though, is to put a variety of things in an ice cube tray and let her pick what she wants. I haven't tried it yet.