I need to find a company who sells the the tiny rubber rings, that
slide over the ear supports to fit over the hinges to help keep the
eye glasses snug to the temples, so the the glasses do not slide off
of your nose. They are called "Hinge Rings"

Hinge rings are often sold as part of an eyeglass repair kit. I have
found these merchants who sell hinge rings without the kit:

Magnifying America: Nose, Temple Pads or Hinge Rings 
http://www.wemagnify.com/Qstore/p000189.htm

Onnen Company: Eye Care
http://www.onnencompany.com/eye_care.htm

Total Pharmacy Supply: Eyeglass Hinge Rings
http://shop.tps-online.com/browse.cfm/4,847.html

RJ General: Drug Sundries Bausch & Lomb
http://www.rjgeneral.com/catpages/product41835.html

Fairfield Scientific: Temple hinge rings
http://www.fairfieldny.com/miva/merchant.mv?Screen=PROD&Product_Code=1193%20PK/12&Category_Code=VI

My Google search strategy:

Google Web Search: "hinge rings"
://www.google.com/search?hl=en&q=%22hinge+rings%22

Froogle Shopping Search: "hinge rings"
http://froogle.google.com/froogle?q=%22hinge+rings%22

I hope this will help you to get precisely what you need. If not, or
if a link doesn't work for you, please request clarification; I'll
gladly offer further assistance before you rate my answer.

Best regards,
pinkfreud