In this section, “property” means: a record of a unit; and any other property that is in the possession of a unit or any of its members or officers. Property that relates to a transferred function or authority of an abolished or superseded unit vests in and shall be delivered to the successor of the unit. Records of an abolished or superseded unit that do not vest in a successor shall be delivered to the State Archives. Other property of an abolished or superseded unit that does not vest in a successor shall be delivered to the Board of Public Works.