Leander is right.
This poor unfortunate woman is existing solely because the reflex functions of her central nervous system (which are housed in the spinal column) are intact and still sending nerve impulses to her lungs, heart and digestive system. If you move, her eyes will follow because it's a reflex response.
It's a terrible tragedy for all those concerned, losing a wife and daughter must be truly devastating, particularly when her body continues to exist.
If it were me, I certainly wouldn't want to continue in that state and would wish that my loved ones would respect my wish to pull the plug.
