The Penguin version of the Epic of Gilgamesh is very good as an easy read of the narrative, the Oxford version has the poetic form, with facing pages showing the table the text comes from and different translations and interpretations.
There are lots of Jewish scholarly debates and texts that feature Lilith, but the Patai one mentioned above is most accessible.
Elinor Gaddon, a Harvard specialist in Women's studies has written a few texts on Goddess mythology that focus on artworks primarily (IIRC), and she has some focus on Lilith.
In literature, there's George MacDonald's Lilith which would make any feminist spit chips at its misogynistic portrayal of women, and for the antithesis of that... Angela Carter's The Passion of New Eve!
Victorian Web used to have quite a few articles about the Romantics and Lilith, but would take a bit of poking about to find, as both the painters and the poets were quite fixated on her.
That's one of the difficult things about researching Lilith in that she's not often the centre of a piece of work, but is discussed in relation to Eve or Inana, Ishtar, Shekinah etc...
What you can do, through tracing the fiction rather than the "fact" is see the evolution of the "femme fatale" in Lilith. She is ultimate woman of this type.
The version of the myth I like the most is Judaic in origin, where Lilith and Samael, and Adam and Eve are circling the world on the backs of two yin and yang-like dragons forever chasing each other's tails.