Vitvitskaia
It is curious that Gurdjieff does not give Vitvitskaia a christian name. The meaning of the name is probably as follows:
Vit is the third person singular of the French Vivre — to live and also the French Voir to see. So vitvit may indicate she lives, she sees. The skaya is the female version of sky, meaning “from.” So, she comes from living and seeing.