I think that all motivation for learning has some "monkey-see, monkey-do" in it. I think that all ability to learn is a combination of inner raw ability plus character, which can be developed.
Don't feel out of you leauge by your daughter. If you could magically assign her 100 different ages, based on 100 different slices of life, then what she is interested and able to do is perfectly normal for her readiness level in that particular slice.
Would I keep her indoors and insist that playing with numbers is the only thing she do, since she has an early talent? No.
Would I keep my eye on the calender and deny her 'homework' and interaction about this fun activity because '2 year olds don't do that.' No.
What she wants to do is to try. It dosen't matter if she is able to read by any particular date, she just wants to try. This is the blessing of being the youngest in a gifted 'home cluster.' You want her to have plenty of opportunities for success at tasks that are truly difficult. As the youngest child, she only has to look around the house to see 'impossible' things to try - what a gift!
We're so glad you are here!
Grinity