The State Board of Health shall prescribe the rules and regulations under which the bodies of deceased persons may be brought into, or transported through, the state and, also, the rules and regulations under which such bodies may be transported from one point to another point in the same county or from one county to another in this state; but the said State Board of Health may, in its discretion, forbid the conveyance of the bodies of persons who have died of infectious, contagious or communicable diseases into, or through, this state or from one county to another in this state. This section shall not be so construed as to prevent county boards of health from regulating the transportation of the bodies of deceased persons within their respective county limits; but cities and towns are prohibited from enacting ordinances regulating the removal from the city or town of the bodies of deceased persons or the issuance of removal permits for removing such remains from the city or town to a point outside the county.