My guess would be the girl who never learned her lesson, the one Ananta was pitying, and possibly, the first to have received the Name.
Wow, another interesting possibility! And that explains why Leez is an air-head: she needs that extra mental real-estate to accomodate all the extra people and Names crowding in her head.
I'm joking, I'm joking.
Seriously, "a person who has been a shadow existence to every person to have received the Name, and whom Ananta pities because she never learned her lesson" and "Anna Haias" are the two possibilities I find most... maybe not plausible, but interesting. Yes, Anna referred to Asha as a friend at first. But it'd still be coherent if Anna only knew Asha to be "the person her daughter is destined to go along with" at first, but Anna was later disappointed by how poorly her daughter was being treated.