The line"My father, Taban, would be proud" is a good indication that at least Taban is dead, but it isn't 100% definitive: it implies he's dead, but it could just mean that Taban would be proud, but there's no way he'd know about what Lucca did anyway. The other clues kinda hint that they moved--which would make a lot of sense, seeing as how Lucca turned the entire house into an orphanage--and her parents left her the house.
Actually, this entire topic really makes it sound like Taban is the only dead one: one bed in the bedroom, the room is referred to as Lara's, and of course that possibly ambiguous line about pride.