When the property owners to be disturbed or damaged by the grading, regrading, or other change of any street, alley, avenue, public highway, public place, or any part thereof, are lawfully entitled to remuneration or damages under the Constitution of the state of Missouri, and shall not have waived all right or claim thereto, the ordinance which shall order the grading or regrading of any such street, alley, avenue, public highway or public place, or any part thereof, shall also prescribe and determine the limits within which private property is benefitted by the proposed grading or regrading.