The trustees of a village incorporated under general or special law shall see that its bylaws are executed, direct prosecutions for breaches thereof, and generally shall take care of the affairs of such corporation and perform the duties legally enjoined on them by such corporation. In case of the death, removal, absence, or incapacity of the clerk, the trustees may designate one of their number to perform his or her duties, and may fill a temporary vacancy in any office of such corporation, until an election is had. A record of such appointment shall be made in the office of the clerk of the village.