The metaphor of her name may become the metaphor of her life in some way.

What's in a name?

If you are called Sky I imagine it may impact on your image of yourself.  If you were called Crystal you might have a totally different self-image. If you are called Faith would you be different than if you were called Charity? I am guessing, as there are so many visual connections, these noun names inspire more meaning than the difference between being called Anne and Jane. 

X realised that her name has a meaning today. She explained to me that she is like it- though she didn't seem sure how.

I expect that this metaphor will grow throughout her life. I can imagine boyfriends writing love letters about it, friends sending card with pictures of it, her going to places where she decides it has special meaning for her. It was nice to be there when she first understood the metaphor and to tell her once again that it was her tummy mummy who gave it to her.