Any judge of the Superior Court may, upon the application of any party interested, and after notice, unless the application has been unreasonably delayed, appoint three disinterested persons to make a written appraisal of all damages due any person by reason of anything done under any provision of § 16-228 or 16-234 or which is in violation of any order made under § 16-235. Such appraisal, when approved by such judge, shall be returned to and recorded by the clerk of the superior court for the judicial district where the cause of action arose, and thereupon the sum specified therein shall be paid immediately by the company to the party entitled to the same, or the judge may order the same to be paid immediately into the hands of such clerk, to be delivered by him on demand to such party. The costs of such proceedings shall be taxed by such judge and paid by such company, and he may issue execution therefor and for such damages.