Applications for the establishment of all public roads, except state roads, shall be made by petition to the county commission. Such petition shall be signed by at least twelve registered voters of the municipal township or townships through which such proposed road may run, three of whom shall be of the immediate neighborhood, and shall specify the proposed beginning, course and termination thereof, and shall be accompanied by the names of all persons owning land through which such road shall run, with the amount of damages, if any, claimed by them, so far as can be ascertained, and also the names of those who are willing to give the right-of-way for such proposed road, except that if the proposed road begins or terminates on, or runs along a boundary between the county wherein such petition is filed and an adjoining county, any or all of the petitioners may be registered voters of such adjoining county, and of the municipal township or townships thereof through which the proposed road may run, or in which the proposed road may begin or terminate.