A Tenacious Explorer of Abstract Surfaces
simonsfoundation.org
simonsfoundation.org
e.g. we can ask "why Hypatia?" given that there were plenty of worthy targets of public outrage, and Hypatia probably wasn't even the post powerful.
Here is a blog post by a historian about a movie that dealt with the subject, if you have the patience to read through it all. http://armariummagnus.blogspot.com/2009/05/agora-and-hypatia...
I think it's incredibly important to note the diversity of subjects consumed and the importance of literature in these children's upbringing.
I'd generalize your point to these mathematicians having such intellectual vitality from an early age and demonstrating it or pursuing it in some way or another. This is distinct from developing this vitality later in their childhood.
http://arxiv.org/pdf/0811.2362.pdf, Counting closed geodesics in Moduli space (PDF)
I have to say that I admire Maryam very much. I love her tenacity and abstract approach.
Edit: the title was "A woman wins ‘Nobel Prize of math’ for the first time". We changed the article to the more substantive simonsfoundation.org piece about Mirzakhani.