I know a girl online, how can she prove she's really who she says she is?

I met a girl on Omegle who I really like. I live in Florida, and her California. I met her less than a week ago, and we're very close. We say we love each other, and we talk very intimately. We talk about meeting each other someday. (Stuff planned years from now, not soon.) We only email; she has no Facebook or phone. Neither of us tell our parents we know each other. She doesn't have her own camera, so she can't send me of a picture of herself doing something. She's 17, I'm 15, so I think this is kind of too good to be true, literally. Is there any way I can verify her being who she says?