I'm not sure specifically as there could be many different 'lilith side story' interpretations. It could be about a character named Lilith and her adventures, experiences or her back - story in a particular fictional world.
Lilith is the first woman in some versions of the story. She was created equally with Adam but had her own ideas about her role, which led to her leaving the Garden of Eden.
Lilith is portrayed as an independent and defiant figure. She refuses to be in a subordinate position to Adam, which goes against the expected order in the Garden of Eden.
Lilith is often depicted in various mythologies and religious texts as a figure associated with evil or rebellion. Different stories present her in different ways.
One main difference is their attitude towards hierarchy. Adam seemed to expect a traditional, male - dominant hierarchy, while Lilith desired equality. Also, Lilith was more rebellious. Adam was more compliant with the supposed order in the Garden of Eden, but Lilith was willing to leave when she didn't get the equality she wanted.
In this fanfic, Lilith could be an original character created by the author. She might be a powerful and mysterious figure with special abilities that make her suitable to train Naruto.
The story of Lilith has various interpretations. In some ancient myths, Lilith was Adam's first wife in Judaic traditions. She was created from the same earth as Adam but refused to be subservient to him. She left the Garden of Eden and was often associated with demons or dark forces in later interpretations.
The Lilith in the biblical story is a very interesting character. In some versions of the story, Lilith was made of the same dust as Adam, which is different from the later creation of Eve from Adam's rib. When she disagreed with Adam about their relationship, especially regarding her equality or subordination, she left. This departure led to her being seen in different lights in various religious and cultural understandings. She has been associated with nocturnal creatures and in some beliefs, she was thought to cause harm to newborns or be a seductress, although these are more extreme interpretations of a figure that originally had a more complex and nuanced origin.