I'm myself no expert but I'd say the girl represents your innocence, given thats basically the defining trait of childhood.
You say that you have no social skills, so in that sense you're not mature yet, though it is implied that because of your age you should already be mature. This I think is why you try to remind the girl that shes not dead- you're reminding yourself that you still have some growing up to do.
This is basically what I got out of it, I don't know what your fascination with her name means, except that it further supports my theory that this is you in the sense that people are very egocentric and we want to love ourselves usually, so it shows some sort of self centered focus. Not that thats a bad thing

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