The next ten minutes were a stramash of increasingly wrong assertions about my current situation and how it was going to pan out. Eventually, having learned that this girl, who didn't exist, was most likely the one and that we would have several children whilst being quite financially secure the session came to an end.

That's because she was playing the odds. It's one of the standard tricks of the trade: combined with portentous-sounding vagueness, it makes a handicapper's guess appear to be prophecy.

One other trick (I read about this from a reformed ex-'psychic'): there's a network of those folks, and each keep files on their regulars. They share these files with each other. Consequently, a "client" seeks a reading from a psychic (s)he's never met and he knows "all" about her!