All back taxes, of whatever kind, whether state, county or school, or of any city or incorporated town, which return delinquent tax lists to the county collector to collect, appearing due upon delinquent real estates shall be extended in the back tax book made under this chapter or chapter 52. In case the collector of any city or town has omitted or neglected to return to the county collector a list of delinquent lands and lots, as required by section 140.670, the present authorities of the city or town may cause the delinquent list to be certified, as by that section contemplated, and the delinquent taxes shall be by the county clerk put upon the back tax book and collected by the collector under authority of this chapter.