Marie is the middle name of Keenan's deceased mother, Judith Marie Garrison. As Keenan explains in his commentary on A Perfect Circle's aMOTION DVD, she suffered a stroke that left her partially paralyzed and wheelchair-bound. The length of time between the paralysis and her death was 27 years, or approximately 10,000 days.
http://en.wikipedia.org/wiki/10000_days