You may want to check out the online Ohio Death Certificates at Family Record Search:

http://search.labs.familysearch.org/recordsearch/start.html?...

There are several Debneys listed including Theresa Debney Gallagher. The site is free but you have to register with your e-mail address. If you have trouble let me know and I can do lookups for you.

Good Luck
Jim Brennan