Murders, She Got Away With

The thing I never figured out about the Murder, She Wrote television series was how a town like Cabot Cove, Maine could have so many murders.
Despite having less than 4000 people, every week someone in Cabot Cove would get killed.
Oh, sure, some were tourists, but after a few seasons, you’d think the sheriff would notice something. Or demand a raise.
This got me to wondering if Jessica Fletcher, the mystery writer, was also a murderer.
I mean, she figured out every murder, and the alleged murderer denied it… maybe she’d set them up?
Murders, she got away with!