The council may appoint a city sergeant, who may be a member of the police force. He shall be paid such salary as the council may fix, and all fees collected by him shall belong to the city. The council may appoint such deputy city sergeants as may be necessary. The sergeant and any deputy city sergeants shall have the authority and powers and jurisdiction which is granted to sergeants of other cities of the class of Franklin by the general laws of the Commonwealth of Virginia and the ordinances of the City of Franklin, and they shall perform such duties as may be prescribed by the state laws and the ordinances of the City of Franklin. The city sergeant shall be conservator of the peace, and in criminal matters or offenses the city sergeant and deputy city sergeants shall have jurisdiction for one (1) mile beyond the city limits of Franklin in enforcing the criminal laws of the Commonwealth of Virginia. Any vacancies in the office of city sergeant and deputy city sergeants shall be filled by the council.