[cyberdemon]

Originally Posted by Divini

The meaning of the name 'Sachi' doesn't really relate to "Black Snow Princess". Kuroyukihime did say her real name was very much like her nickname.

What about:

Spoiler for KYH:

Sachi Yuuki. Asuna's family is higher class so it might make sense that Kirito would marry into it. Sure it uses different kanji but the pronunciation is the same. Chances are the only part of her nickname that is part of her real name is the yuki part. Kuro came from her hair color, hime came from her social status, that just leaves the yuki.

Also that they kicked KYH out of the house and didn't see her might have been for her own sake especially if they knew how mentally unstable their older daughter is. Especially if they might not be around as often as they wish to be.