Lilith was formed as an equal with free will but forced to be subservient to a man she didn't even want to be with so she ran away from Eden by choice.
God then demonized her by cursing that children would die until she finally returned to Eden. She refused and never returned so her stubbornness is now blamed in religion for all child deaths when all she wanted was to be left alone. She is often depicted in religious art as eating children.
Then god made Eve, she was created from Adam not clay so she would HAVE to be subservient to the man who she 'owed' life too.
The angel Samael stood up for Lilith's right to equality and freedom and helped her escape and married her. He then returned and also offered Eve the Apple so she could also choose knowledge, equality and freedom too even if it meant leaving Eden.
God was so annoyed by the concept of a woman being equal (and being defied TWICE) that he cast Samael out of heaven (where he fell and became the devil) for helping them and cast Adam & Eve into the wasteland to be punished forever.
They where prisoners of a controlling abuser and they CHOOSE to leave Eden, their abuser then blackmailed and spread rumors to make them the bad guy. When that didn't work he punished humanity for eternity (even killing children) while in a rage.
Its basically like if a woman posted here saying her ex-DH keeps her locked in the house, she tried to run away but he murdered their kids and told everyone she did it so now everyone hates her. He now abuses his new naive wife who he also keeps locked up and when she spoke to someone else and learned she was being abused and there was another life she could have he got so angry he threw her out the house in the cold with nothing and nowhere to go.
Its pretty much the most abhorrently sexist story that ever existed. The fact that for thousands of years Lilith and Eve are still automatically blamed not God for HIS anger says a lot about how sexism is still present.