A couple of thoughts:

1. is anyone paying a phone bill for a POTS line for either property? I'd assume not for the rental property. What about the remodel? If either one has an active line, is it possible that someone is stealing service--i.e., has tapped in at the pole-top terminal or a service pedestal and routed the service somewhere else. I've seen this done before, and because the thief is not connected to the address, they'd think it's great entertainment to call 911` and watch the response.

2. maybe the telco database is fouled up, as it's that info that's passed to the 911 system. It happens--a wrong address is linked to a phone number.

I'd get the coppers to talk with the phone company on this. If the telco hears "theft of service" they usually get serious real quick.

I find it hard to believe that the police would use a 911 call as cause to respond to a location. 911 calls are all logged electronically these days--not just voice recording but incoming phone number. Just like all our cell phones...

Good luck--please let us know how this pans out.

Cliff