It shall be the duty of the receiver or officer or agent at the time of payment to deliver to the general treasurer a list of the unclaimed deposits and dividends in the financial institution or credit union, with the names of the parties entitled to the deposits and dividends, as shown by the books of the financial institution or credit union. Any person claiming any unclaimed dividend shall be entitled to payment of any money in the general treasury not otherwise appropriated on producing evidence satisfactory to the general treasurer of the validity of his or her claim. The state controller is authorized and directed to draw his or her order or orders on the general treasurer in favor of the claimant on the presentation of the proper vouchers. It shall be the duty of the general treasurer to advertise each year, during the period of three (3) years from and after receiving the funds of the financial institution or credit union, a list of the unclaimed dividends in these financial institutions or credit unions and of the persons supposed to be entitled to the unclaimed dividends once a week, at least, for three (3) successive weeks, in one or more of the public newspapers published in the city or town in which the financial institution or credit union is located.