When a railroad corporation has not acquired, by gift or purchase, land, real estate, or property, taken or required for the construction, maintenance, and convenient accommodation of its road, and if the parties do not agree as to the price of such land and other property, any two Justices of the Supreme Court, upon application for that purpose by the corporation, shall appoint three disinterested commissioners, one of whom shall be an inhabitant of the town and all shall be inhabitants of the county in which the land or other property to be appraised is situated, to determine the damages which the owners of such land or property have sustained by the occupation of the same for the purposes aforesaid.