"A town so small it lacks its own police force"

That line caught my attention from this New York Times story out of Allen, Kentucky, in the eastern part of the state.  Allen is a "home-rule class city" of 193 residents, in Floyd County, just one county over from the West Virginia state line.  Here's an excerpt: 

Three law enforcement officers were killed and three other officers were shot on Thursday night after a man barricaded in his home opened fire with a rifle in Allen, Ky., a rural town so small that it lacks its own police force, the authorities said.

The Kentucky State Police, which is investigating the shooting, said that another person who is not an officer had also been shot during the episode and that a police dog had been struck and killed. An additional officer sustained an injury unrelated to gunfire, Capt. Paul Blanton of the Kentucky State Police said in an interview.

I have written previously about the dearth of law enforcement in rural areas generally, and specifically in my hometown, which first got a police officer about 15 years ago. 

So, yes, there are plenty of "towns" that don't have a police force at all.  They rely on the county sheriff and the state police, to the extent they rely on law enforcement at all.