You will want to look into these Online resources as a start:
http://www.familysearch.orghttp://www.familysearch.orgBy entering each last name one at a time, with the location "Lorain County, Ohio" you'll find an abundance of information.
http://usgenweb.org/http://usgenweb.org/Here, you will find a state list at the left.Select Ohio, and then at the Ohio page, at the top select "County Resources" and then the first item which is "Ohio Counties."Select Lorain.You can search this county, as well as find cemetery transcriptions for many of the area cemeteries.It will help to know which town the folks lived because there are a number of area cemeteries.
If you had an Ancestry.com subscription, you could find numerous newspapers of the area since MANY Lorain county papers are scanned and searchable.It would be worth calling Ancestry's subscription department and then paying on a monthly basis, say for one or two months (it is very affordable this way).I pay for the annual subscription.You will start out at your computer in the morning with a cup of coffee and before you know it, it will be time for some late night sleepytime tea.In any case, the newspapers have been both significant and essential to my research in Lorain County.
In addition to the newspapers, you'll have full access to the US Federal Census and other records of the area at Ancestry.com.
One last place you'll want to look is http://www.findagrave.comhttp://www.findagrave.com -- and search for a cemetery at the right hand side of the website.You can search a specific name in Lorain County as well.
I hope the above helps.
Jack Sheldon Mesa, AZ (formerly of Owosso MI - many ancestors and living cousins in Lorain County, Ohio)