If any elector named in the Governor's certificate fails to appear before nine o'clock in the morning of the day of election of President and vice president as aforesaid, the electors there present shall immediately proceed to elect by ballot, in the presence of the Governor, a person to fill such vacancy. If more than one person voted for to fill such vacancy shall have the highest and an equal number of votes, the Governor, in the presence of the electors attending, shall decide by lot which of such persons shall be elected.
SDCL 12-24-2