The story is still incomplete with what we have. I
think the next update will tie everything up, but I have no idea when that's going to be, nor am I sure if it will, in fact, do that.
Also, yes, you got the name right. Sophia is the daughter, Lilly is the mom. And while I don't want to dash your hopes, I am reasonably sure that none of the Dark Paths can really end well, because "everything is terrible" is kind of the point. The nearest I can think of here is that
Sarah (the girl in the cells missing three of her limbs) has a Give Her Hope Good Path and a Make Her A Slave Dark Path, and it's still unfinished, but there's a chance to pull her off the Dark Path and go to Good Path. However, I suspect that the reason for this "oh shit PULL UP PULL UP" moment is because
the game is pretty good about letting you avoid NTR-ish content, and this is your last chance to change course before you start renting Sarah out, although this fact could be signposted a bit more clearly.
That said, I also hope that Sophia has an "unfuck her life" path, although for very different reasons: it's more fun to be a shitbag when being a shitbag is a deliberate choice.