Idaho Code § 33-2716
Individuals signing a petition to recall a library trustee or voting in an election to recall a library trustee shall meet the requirements of section 33-2702, Idaho Code. To recall any trustee, a majority of the votes cast at the recall election must be in favor of the recall, and additionally, the number of votes cast in the recall election must equal or exceed the number of votes cast in the last trustee election held in the library district.
A declaration of vacancy shall be made at any regular or special meeting of the board of trustees, at which any of the above-mentioned conditions is determined to exist.
The board of trustees shall appoint to fill the vacancy, a person qualified to serve as trustee of the public library district, provided there remains in membership on the board of trustees a majority of the membership thereof, and the board shall notify the board of library commissioners of the appointment. This appointment shall be made within sixty (60) days of the declaration of vacancy. In the event that the board of trustees fails to exercise their authority, appointments shall be made by the board of county commissioners of the home county in which the district is located within thirty (30) days after the expiration of the sixty (60) days allowed for trustees for this action.
Any person appointed as provided in this chapter shall serve until the next election of public library district trustees following the appointment. At the election a trustee shall be elected to complete the unexpired term of the office which was declared vacant filled by appointment.
The elected trustee shall assume office at the first annual meeting of the public library district following the election.
Idaho Code § 33-2716