I don't think we can offer any helpful information. Dizziness is not a common eye symptom. Best to continue the work up, however she should be evaluated by an Eye MD ophthalmologist. Ask your neurologist for a referal
Not sure what you mean when you say "We tried to treat her as if she was having migraines but nothing helped." What exactly was tried? Has your daughter been seen yet by a neurologist--the person you want to see for headaches? I ask because I have migraines, and her symptoms (headache, nausea, plus sensitivity to light and sound) seem to me extremely suggestive of migraine-type headaches. Here is some reading material on the subject:
Re the fluorescent lighting issue, I am not a true believer, but some people think that under certain circumstances, some aspect of fluorescent lighting might possibly be a factor in producing headaches. Here's more info:
Of course, her inner ear function should be checked out as well since there are some disorders in that department that can cause some of her symptoms, but not usually all of them.