Also, she doesn't go to school, so hasn't been labelled "gifted" by a school on the basis of her verbal ability alone. It was purely our observation based on her precocious milestones, her intense curiosity and attention span.
Sorry if I was unclear. I did catch that she was homeschooled in your original post. I was more referring to the measures that were used to id you as gifted as a child and whether they may have been similar to the ones used when I was kid and what is used in my children's schools (which is not IQ and where high ability in one domain alone would be enough for such an id). My devil's advocate there was that, parental identification as gifted may or may not correlate with the child being gifted depending on what types of measures were used for said parental identification.
In any case, it sounds like your dd is more able than most of the high achiever but not quite gifted types I know. If you really feel that this program is something she'd enjoy and benefit from, is there any way for you to just give her a test similar to what the schools use yourself and use that for admission if they'd take something like, say, the ITBS? Many of those types of tests can be administered by parents even if you're not a psychologist.