In case such vessel is of less value than one hundred dollars, and is not claimed within three months, the taker-up may apply to a district judge of the district where the property is, who, upon being satisfied that due notice has been given, and that the owner cannot, with reasonable diligence be found, shall order the vessel to be sold, and after paying the taker-up such sum as he or she shall be entitled to, and the costs, the balance shall be paid the county treasurer as is provided in the case of the sale of estrays. In case the vessel exceeds one hundred dollars, and is not claimed within six months, application shall be made to the superior court of the county, and the same proceeding shall be thereupon had. All sales made under this section shall be conducted as sales of personal property on execution.