When a contagious or infectious disease of quarantinable nature exists in a part of a county, the remainder of the county, and any incorporated city or town therein, may establish quarantine against the infected portion or portions of the county in accordance with the following provisions:

(1) If a majority of the committee of public health, acting for the board of health of the county, reside in the uninfected portion of the county, such majority shall have the power of the full committee, as defined in the Sections 22-12-12 and 22-12-13; or

(2) If, however, a majority of the said committee reside in the infected portion of the county, then said committee can no longer act, and in that event, the uninfected portion of the county may establish quarantine as follows:

a. The judge of probate, the presiding officer or any two members of the county commission if they, or either, reside in the uninfected portion of the county, may issue, in the order named and upon the recommendation of the county health officer in case he resides in the uninfected portion of the county or, in default of such residence or on account of his absence from the county, then, without such recommendation, a proclamation of quarantine against the infected portions of the county, subject to approval or modification by the State Board of Health; and

b. Likewise, the Mayor or Chief Executive Officer of any incorporated city or town in the uninfected portion of the county may issue, on the recommendation of the health officer of his city or town or, in the absence of such officer, then, without such recommendation, a proclamation of quarantine against the infected portion of the county, subject to approval or modification by the State Board of Health.