It is my understanding that if a person is under a doctors care and dies at home there is no autopsy needed. (They know what they are dying from) If a person dies at home who has not been under a doctors care then the coroner comes in and then there is an autopsy.
My Step-father died in the hospital and they were trying to get him out of there in no time at all. I practically had to beg for them to leave him in the room until his grandchildren could come view the body before he was cremated.
Dying at home without being under a doctor’s care for some malady is not grounds for an autopsy in the state of Tennessee. It may be in other states, but I would be suprised if it were more than a handful.