LKC,If you Mother is not in favor of surgery it may be wise to get a second opinion.
Carotid angioplasty
involves using a balloon catheter to flatten plaque blockages against the artery
wall, opening the passageway is one alternative to surgery.
The surgical procedure is a carotid endarterectomy which removes fatty plaque
from neck arteries.
If she refuses either of these methods there are medical treatments to help prevent any further blockage.
I wish you the best of luck,
Kitt