In case of any vacancy during the recess of the Senate, in any office which the Governor has power to fill, he shall appoint some suitable person to said office, whose commission shall continue in force until the end of the next session of the Legislature, or until some other person is appointed to the same office, whichever shall first occur; and the nomination of the person thus appointed during the recess, or of some other person in his place, shall be made to the Senate on the first day of the next regular meeting of the Senate.