Section 205. Vacancies in elective offices

Vacancy  in the offices of
  sheriff, coroner, county clerk, register, district attorney, and  county
  treasurer shall be filled by the governor with the advice and consent of
  the  senate if in session. When a vacancy shall occur, otherwise than by
  expiration of term,  in  the  office  of  judge  of  the  county  court,
  surrogate, or judge of the family court outside the city of New York, it
  shall  be  filled  for a full term at the next general election held not
  less than three months after such vacancy occurs and, until the  vacancy
  shall  be so filled, the governor by and with the consent of the senate,
  if the senate shall be in session, or, if the senate not be  in  session
  the  governor  may  fill  such  vacancy  by  an  appointment which shall
  continue until and including the last day of  December  next  after  the
  election at which the vacancy shall be filled. All other vacancies in an
  elective county office shall be filled by the board of supervisors.