Cindy, I used to work in the Trumbull County Archives and still volunteer there once in a while.There are no "death or birth records" before 1867 anywhere in Ohio. They weren't required to be registered until 1867.Your only hope would be to write to the Archives requesting a look-up in the cemetery book and in the estate records. Tell them what you know and what you hope to find.
Trumbull Co Archives 118 High St NW Warren OH 44481
Copies are 10 cents a page.(I'd enclose a dollar and a SASE envelope.)If you get lucky and need more pages, they will bill you.Hope this helps! Barb