Any owner of or persons entitled to any estate in or interested in any part of the land, or interest therein, so taken, who cannot agree with the authority for the price of the land, or interest therein, so taken in which he or she is interested may, within three (3) months after personal notice of the taking, or, if he or she have no personal notice, may within one year from the first publication of the copy of the resolution and statement, apply by petition to the superior court in and for the county in which the land, or interest therein, lies, setting forth the taking of his or her land or interest therein, and praying for an assessment of damages by a jury. Upon filing of the petition the court shall cause twenty (20) days’ notice of the pendency thereof to be given to the authority by serving the chairperson or vice chairperson of the authority with a certified copy thereof, and may proceed after notice to the trial thereof; and the trial shall determine all questions of fact relating to the value of the land, or interest therein, and the amount thereof, and judgment shall be entered upon the verdict of the jury and execution shall be issued therefor against the money so deposited in court and in default thereof against any other property of the authority. In case two (2) or more conflicting petitioners make claim to the same land, or to any interests therein, or to different interests in the same parcel of land, the court upon motion shall consolidate their several petitions for trial at the same time by the same jury, and may frame all necessary issues for the trial thereof; and all proceedings taken pursuant to the provisions of this chapter shall take precedence over all other civil matters then pending before the court, or if the superior court in and for the county in which the land, or interest therein, lies, is not in session in the county, then the matter may be heard in the superior court for the counties of Providence and Bristol.