The city council may, from time to time by order or resolution entered upon its minutes, order and direct the construction or repair of any sidewalk or curb and the filling and grading of parking between sidewalks and curbs or any part thereof in the manner designated in the order; and when any sidewalk or curb shall be so ordered built or repaired or any such parking shall be ordered filled or graded and the owner shall fail or neglect to build or repair the said sidewalk or curb or to fill or grade the said parking, the same may be done by the overseer of streets of the city by order of the council or by the contractor to whom shall be awarded the contract for doing such work as hereinafter provided. (1960 Code, Sec. 6-102)