Neither did I until I started researching this thread a demon once back home. But the Bible, if you look at it on historic prespective and as a story instead of prophecies, is a creation of it's time. It would have taken and adapted stories to fit what it wanted to say. And there are a lot of different versions of it, things left out of the ones that are sold today.
If I remember correctly, Lilith was actually a Mesopotamian night demon I wish I had my notes. Though I think I might start focusing more on that angle; I'm pretty sure, part owl. Lore has it that she used to kidnap and strangle children and also seduce men to create more demon babies.