S.C. Code § 5-31-240
The mayor of the city or the mayor or intendant of the town shall notify the persons so elected as members of the commissioners of public works of their election, within ten days after the results of such election are declared. The persons elected or appointed to such office shall qualify by taking the same oath as the elected officers of the municipality take. At the first meeting of the commissioners after the election, and after any election for a full term, they shall organize by the election of one of their number as chairman. The clerk or recorder of the municipality shall act as secretary of the commissioners. The mayor and aldermen or council of the city or the mayor or intendant and the council or wardens of a town shall fill any vacancy occurring in the commission by appointment for the unexpired term.
S.C. Code § 5-31-240