Hi Melissa,
I checked the Boyd Co. Genweb site for William's Obit; both old and new submissions:
http://www.rootsweb.com/~kyboyd/Obituaries/obituaries.htm
I also checked the Boyd Co. Library for the obit:
http://www.thebookplace.org/adi.cfm
And the obituaries posted here on the board and did not find a William Oliver or Oliver William Coonrad/Conrad listed.
Have you checked the Conrad or Coonrad message board?
Good luck in your research.
Ramona