29 Del. C. § 1102: Term of office; vacancy.

(a) The members of the Council who are not appointed shall serve during their term of office in the General Assembly and until their successors are selected. The members of the Council who are appointed shall be appointed at the first annual session of every new General Assembly and shall serve during their term of office in the General Assembly and until their successors are selected.

(b) In the case of a vacancy in the office of any member of the Council who is not appointed, a successor shall serve during such member’s term of office in the General Assembly and until a successor has been selected. In the case of a vacancy in the office of any member of the Council who is appointed, a successor shall be appointed by the member of the Council occupying, at the time of the vacancy, the office from which the appointment was made.