Section 39. Filling vacancies in office of officer appointed by governor and senate

A vacancy which shall occur during the session of the senate, in
  the  office  of  an  officer  appointed  by the governor by and with the
  advice and consent of the senate, shall be filled in the same manner  as
  an  original appointment. Such a vacancy occurring or existing while the
  senate is not in  session,  including  offices  in  which  officers  are
  holding  over pursuant to the provisions of section five of this chapter
  or any other law, and offices vacant during the session of  the  senate,
  shall  be  filled by the governor for a term which shall expire upon the
  appointment and qualification of a successor but in any event such  term
  shall expire at the end of twenty days from the commencement of the next
  meeting of the senate.