I would call or email the Chief of Police or the city attorney. I was thinking about relocating (downsizing) to a different city nearby. I checked and 3 of the 4 have city ordnances prohibiting the discharge of BB gun, airgun or slingshots. These were dating back to 1978 so I plan on asking the city aldermen to revisit this and not place all airgun owners in the vandal class. Also, Brett (Addictedtoair) lives in Murfreesboro. He might have some insight or can help you find out.Keep us informed!!!And welcome to the Volunteer state.
I tried Google and didn't find anything specific for Murfreesboro. I may have to go to city ords and search there.