§ 81. Certificate to be filed. Whenever a partnership or business name continues to be used as provided by section eighty, the person or persons using such name shall sign and acknowledge or swear to a certificate, declaring the person or persons intending to deal under such name, with their respective places of residence, and file the same in the clerk's office of the county where the principal place of business is located, and cause a copy of such certificate to be published once in each week for four consecutive weeks in a newspaper of the city or town in which such principal place of business is located, or if none be published in such city or town, in the newspaper nearest thereto. A county clerk with whom any such certificate is filed, shall keep a register in which shall be entered in alphabetical order the name of every such partnership and of the partners thereof, and every such business name of a deceased person and the names of the person filing certificates therefor.