Actually, I've been thinking that the character Lolita from the book of the same name by Vladimir Nabokov is probably ruled by Lilith. Here's how Humbert Humbert describes her:
"[...] the slightly feline outline of a cheekbone, the slenderness of a downy limb, and other indices which despair and shame and tears of tenderness forbid me to tabulate—the deadly little demon among the wholesome children; she stands unrecognized by them and unconscious herself of her fantastic power."
It's like there's something there, some bewitching quality, even if you can't put your finger on it. It's not a fresh, sweet, wholesome energy, but an energy that speaks more to the underground, to desire, and to a kind of hell on earth wrapped up in a small, feminine package. But this isn't feminine the way Eve is feminine.
I'd expect the daughters of Eve to be more concerned with the appearance of femininity, while Lilith is about a more primal kind of femininity...there's possibly the actual femininity of her bone structure (as it's more a yin quality to be small-boned), and this is pitted against a more independently streaked personality.
I don't think the Eves can ever truly stand alone, as much as they might make protestations to the contrary. There's something that always brings them back to communion with others. Lilith, however, can thrive even after being cast out by all. She can stand alone against any opposition.
I wonder if people with prominent Lilith have faced overt social alienation. I know I certainly have. There was a period of time when I was living abroad and the other people from my group who lived in my city all started ignoring me because one girl and I had a disagreement and she started spreading rumors (and lies) about me. They believed her because she's the one who would drink, dance, and have sex with them. That wasn't at all my scene, so I had never been really warmly connected to any of them. So, I was in an entirely different country and culture and essentially completely alone. Anytime I saw any of them on the streets, they'd ignore me entirely and raise their voices so I could hear when they were talking about me (nothing nice).
Though I remember it, I didn't let it get to me. I didn't let them chase me out. I was cast out by a gaggle of Eves and I stood alone and strong, because I knew the truth and I knew myself. I kept that perspective, and remembered what caused it all. I knew this alienation came from a place of spite and insecurity, and I refused to surrender to their childish campaign. It's like Lilith standing up to Adam and being cast out of the Garden because she refused to subjugate herself to him. His demands couldn't curtail her sense of self.