Typically obituaries were not reported then as they are now days, and death records in Lorain County at that time, if I'm not mistaken, amounted to no more than making a line notation in a book with name, date, and cause of death.That is the way it was with my ggg-grandparents who both passed away in 1870 in LaGrange.
I visited the library in Elyria and the Lorain County Historical Society both in November 2004, in person, and sat at the microfiche machine and searched...but I later found a better way.
Searching newspaper articles from 1880 is available through ancestry.com for Lorain County.Finding any mention of a specific person would be a great find.However, there is a small possibility that your ancestor would be mentioned.Ancestry.com is nice because you can search key words or names.
Even though obituaries were not printed, I was able to find mention of the whereabouts of a branch of our family (Sheldon / Woodmansee) that had traveled to Michigan, through a brief paragraph in an old Lorain County newspaper.This led me to the county, the approximate date of death, and eventually I found the cemetery / burial by searching Gratiot County, Michigan, transcriptions.Occasionally, a death is mentioned -- usually a prominent citizen, but there was really no way for the paper to keep up with the information.
I have to re-new my subscription, which I will probably do in a couple of months when I gather some more information -- so right now I don't have the ability to search for you.
A person can sign up for one month with both Census and Periodical lookups -- by calling then.
I see that you've already been to usgenweb.net --> Ohio --> Lorain County, and have found the cemetery notations.(I see your query from 2000).
I hope these are not words of discouragement, but the periodical look-up might be your best bet at this time.