Interestingly enough, this interpritation of the offspring of Lilith is based upon primarily Judeo-Christian interpritation of a story from biblical times, but that was never included in the Bible. It's not even in the Torah, but the Lilith/Lilim story has been furthered through the traditions taught by rabbis.

Other religions find that Lilith was the diety of freedom, not the demon. They believe that Lilith's flight from Eden was because she could not understand or handle the control of Yahweh, so she blew out. Some people believe that she and her offspring (although they are not designated as Lilim) are the true spirit of freedom.