Actually, I don't find it that weird.

I think she was trying to break the ice, you know, find a common ground with others and so used your stories to do so. Ok, after reading that back it's a bit strange, but not unheard of. She obviously lacks confidence. She could have just said 'Oh, you should have heard the funny stories Delph just told me :insert story here.' Same result, but no lying involved!

Hmmm.