The mayor or president of the board of trustees, or judge, as the case may be, shall, upon the filing of such appraisements, give notice signed in his official capacity of the time and place of sale of such lots and parcels of land by an advertisement published once a week for three (3) successive weeks in some newspaper published in the county where such town is situated, or, if no newspaper is published in said county, then in the paper published nearest such town. Such sale shall be advertised to be made at some public place in said town, and to be sold at some specified time between the hours of sunrise and sunset.