Your Skype name did hint me on what your real name is in the past, but still, giving out your full name to someone online is pretty damn ballsy.
Regardless, I don't see why she's griping about your name - yours is a lovely name, especially if seen from a romantic standpoint. So it's understandable if you were hurt by that.
But really, you shouldn't be listening to her at all, especially if all she's say are lies.