Gustav Davidson identifies somewhere between 35-45 names of Lilith in the appendix to The Dictionary of Angels (some versions appear to be the same with just minor differences in transliteration). While you are certainly free to use these as aliases for Lilith herself, I would strongly suggest using them for the senior Lilim of Hell.
I would probably spread these Lilim around liberally. Some will be Free Lilim, some will serve the Word of Freedom, and some may have taken up service under other Superiors. A few may not even be Lilim, but other demons who are (or have been) in service to Lilith for quite some time.
Davidson provided citations for these names. Look to the sidebar to see where he found each.
- Ardad Lili3
Some of these names were associated with demons in general (and Lilith in particular) as a way to diminish their worship. Lamasu were originally guardians. Combined with their half-man, half-beast appearance they would fit well in the Cherubim or Djinn.
Note: Kali is most likely associated with the place of the same name, not the Hindu goddess.
If you know the history of any of these names (or where it can be found) please post a comment.