Do you know if she has an intolerance to dairy? I was told by our paed that kids have a natural reluctance to eat foods that won't agree with them - seems to work in our household.

One suggestion we were given was to very slowly add more and more milk to her water. We never tried it given Miss I's intolerance issues but just another idea.
Nah, no intolerance that we have noticed.

But will keep watching for something, just in case