(a) In addition to the notaries public for the respective counties authorized to be appointed by any other law, the Governor shall appoint as notaries public:
(1) Three employees of the Department of Elections for New Castle County; and
(2) One employee and the Director of the Departments of Elections for Kent and Sussex Counties.
(b) Whenever any person so appointed ceases to be employed by or as director of the department, such person's term as notary public shall terminate and the Governor shall appoint either another employee or such person's successor as a notary public.