(a) Upon the return of the inquest, the court shall cause the proprietor of the land, one (1) acre of which shall have been prayed for, and the several persons, who may be proprietors of the land found by the inquest returned to be liable to damage, to be summoned to appear in the same court on a day to be named in the summons and show cause, if any they can, why the person petitioning should not have permission to erect his or her dam.
(b)
(1) If the proprietor resides in the county in which the lands lie, the service of the summons shall be as in ordinary cases.
(2) If the proprietor is not a resident in the county, then the service shall be by setting up a copy at the house of the tenant on the land, or if there is no tenant there, at some conspicuous place on the land.