If the county commission shall fail, neglect or refuse to comply with the provisions of any ordinance providing for the improvement of property as provided in sections 88.743 and 88.747, for a period of sixty days after notice has been served on the county clerk, of the requirements of the ordinance and the kind and nature of the improvements to be made, the city shall proceed to make such improvements in the same manner as is provided by ordinance for the making of similar improvements by private citizens, and shall issue special tax bills for the cost of all labor and material necessary in making such improvements, and such special tax bills shall be a valid claim against such county, and it shall be the duty of the county commission at its next regular meeting after the completion of said improvements to audit, allow and pay out of the general fund of the county the cost of making said improvements or the special tax bills issued therefor.