The introduction of Lilith into Jewish mythology occurred in the middle ages by a lesser known Rabbi who took the only occurrence of it in scripture, which was interpreted to mean a dark carnivorous bird, and created a second creation story just from that. He obvious got it from some other sources, so perhaps the other Lilith-like stories inspired him. He claims that Lilith was expelled for wanting the dominate position during intercourse, so she got to be the mother of shaydim (demons) While most Jews don't even know about her, she is a symble for Jewish Feminism by one particular group that created a magazine of the same name.
“I've done everything the Bible says — even the stuff that contradicts the other stuff!"— Ned Flanders