Welcome!
I have not read that particular book so I can't recommend it one way or the other.
Your dd sounds pretty tremendous, however from experience I can say it can be pretty hard to tell 'for sure' if your child is gifted when they are a toddler unless they are doing something utterly off the charts like reading at 2 or 3, or doing simple math at 3.
I think those things are pretty darn rare - that would make things too easy!
(It can be hard to tell even after they've tested 'gt'! Lol!)
I am no expert but I think all the things you describe certainly should have you reading up on giftedness and offering her plenty of play oriented learning opportunities.
(verbally/physically precocious, counting well already, and
highly independent)
I have read on this forum "follow their lead"; that seems to sum up a lot of what a gt toddler needs us to do.
