Section 15. When a nomination is made to fill a vacancy caused by the death, withdrawal or ineligibility of a candidate, the certificate of nomination shall, in addition to the other facts required, state the name of the original nominee, the fact of his death, withdrawal or ineligibility, and the proceedings had for filling the vacancy; and the presiding officer and secretary of the convention or caucus, or the chairman and secretary of an authorized committee, shall sign and make oath to the truth of the certificate, and it shall be accompanied by the written acceptance of the candidate nominated. Such certificate shall be filed with the state secretary in the case of state elections and with the city or town clerk in city or town elections.