In the US the duties of the coroner vary from state to state, and from jurisdiction to jurisdiction within the state. So I think it depends. For this story, it seemed like she realized she was stretching the boundaries of her powers as coroner, but she assumed because the death happened so long ago, it was a case where no one would really push back.
How did the father know to go out in the woods and hide his son's corpse?
For McAvoy, although I know that a lot of people don't want their colleagues to know that they are ill, I hate that he is keeping a secret from everyone but his