Aoi thinks that Ginji is the one that saved her, but something tells me that isn't right. I haven't read the manga yet, but I'm quite intrigued by the relationship she had with her grandfather before he passed away, especially since all the akayashi portray him more in a negative light than a positive one. I don't really care about her mother since she left Aoi and wanted her to die. some sort of maternal psychosis I believe, but not entirely sure there and we know nothing about her father, most likely not being there in the first place.