Familysearch.org (Mormon site)has a pilot program where you can check for death certificates and can print a digital image of the original certificate.This is a free service, but you do have to register, which is also free.
I checked Grant in Arkansas (no county entered) and there are 80 pages of Grants in Arkansas.I only looked at the first page.
Go to familysearch.org. Click on the blue section at the top - Search Records Click on Search Records Pilot
That will get you to the page to request records.I entered only the last name, death/burial records, and Arkansas.You might want to enter a death date, but I couldn't remember it so I didn't enter one.
Not all counties in all states are available, so you may not find it, but it's worth a shot.