Lilith comes before Christianity - its old Jewish.
Yes, but her placement as Adams first wife only developed in Jewish folklore in about the 10th century. She was first mentions in a Babylonian Talmud I think from around 500 AD. I think the Dead Sea Scrolls also made a reference to her. Earlier references generally cast her as a demon or a type of demon. The only biblical reference list her among 8 unclean animals when describing the desolation of Edom.