When a district lies in more than one (1) county, the county court of each county shall so determine whether bonds shall be issued to meet the expenses, of the improvement so far as the lands of the district lie in that county; and, if so issued, the bonds shall be signed by the county mayor of such county, and countersigned by the county clerk, and verified by the county seal or seal of the county clerk, and shall be payable only out of the assessments levied for such improvement on the lands in such county, as provided by this part when such district is wholly in one (1) county.