From what we've seen so far she seem to be a really shitty mom but she could also act like that to protect her son from Inanna or from another supernatural threat.
The MC remembers all kinds of shit she did to him from having her men beat the shit outta him to doing some kind of experiments on the poor kid.
Inanna said she's a stone cold bitch who likes to skin her enemies alive (yikes !!) but she also loved MC's mystery dad. He could be Gilgamesh himself judging by how OP the MC is but fact is Inanna herself stated that Eve loved his dad. It was a requirement for a ritual she performed or something like that or that dude just knew how to please her.
David is a just a friend of hers and a damn good lawyer. There's nothing going on between them unless the dev wants to make them friends with benefits in future updates. But no supernatural pussy for David 'till now.
Eve could also be a love interest for the MC (not confirmed by the dev tho), the lady in the middle from the Main Menu pic is her. On MC's left is Inanna on the right the girl his mom was training when David brought Skipper to her. 2nd pic Maria and her girls, 3rd pic Olivia and a little redhead. Eve says Olivia is a Valkyrie, her son is a blood owner (??), Inanna a goddess so yeah, expect an interesting supernatural orgy in future updates.
But the game is worth it so stick around for more, brother !!