This is sooo right up my alley!! I too suffer from lack of ovulation, known as poly cystic ovary syndrome. (and no - cysts don't have to be there for this diagnosis) I also struggled with an eating disorder when I was 16. God news is, there are so many things she can do to ovulate on her own.
Number 1 - Do NOT go on the pill! It only masks the problem and noramlly makes it worse because your body then stops producing the hormones you actually need!
Number 2 - Eat whole foods. Including beef, lots of different veggies and fruits and whole milk dairy. Your body needs those good fats to produce the hormones it needs.
Number 3 - Stop eating sugar! Especially refined sugar and refined breads. They rob your body of essential nutrients (particularlyt vitamin B).
Number 4 - Supplement when needed with a B-Complex vitamin (a whole foods supplement, not synthetic) and cod liver oil.
Number 5 - Stay away from medical doctors. :-) I you can find a good holistic practitioner, go for it, but most every doctor or endocrinologist will put patients on pills. Also, get food sensitivity testing done. Not allergy testing - sensitivity testing. So many things we eat are actually causing us huge issues and we just don't know it.
I actually run a website called www.naturallyknockedup.com and have some more ideas for getting your body to do what it's supposed to do along with real food nutrition. Hope you can find something that helps her out!