First of all vertigo
are the same thing, they are synonyms. I am sorry to say you havent given enough information to pinpoint the cause of your daughter's dizziness.
It may have been caused by not sleeping properly, not eating properly, a problem in her ear, neurological problems, migraine
and also as the side effect of certain medication (these are some of the major reasons for dizziness.
So if this is an isolated incident and doesnt repeat again, I believe its safe for you to not visit a doctor. But if she get dizzy again and for no apparent reason, I would recommend a checkup.
Hope this helped.