When any designation of shellfish grounds which are wholly or partially within the exclusive jurisdiction of the state contains a map thereof or refers to such map lodged on file in the town clerk’s office, and the owner or owners of the adjoining grounds, so far as they lie within the exclusive jurisdiction of the state, do not agree as to the location of the line fixed by such map or, if the boundary between such owners is a town boundary and they disagree as to the same, one or more of such owners may apply to the Commissioner of Agriculture, who shall thereupon notify all parties in interest to file sworn statements of facts and copies of maps as claimed by them respectively, and said commissioner shall thereupon appoint a surveyor who shall take such maps and statements and lay out and survey the grounds in the various ways claimed and, if any town boundary comes into question, he shall ascertain and report upon such boundary as it appears from the maps and records in the custody of the respective town clerks of such towns. Thereupon he shall report his doings, accompanied with the maps or copies of maps touching the dispute, to said commissioner, who shall thereupon summon all parties in interest before him at a time and place to be named in the summons, and, after a full hearing of the parties, with their witnesses and counsel, said commissioner shall establish the line in dispute and cause the same to be located and marked by ranges and buoys; and the line so established shall be the true dividing line between such grounds unless on appeal taken to the Superior Court, as provided for in section 26-195, such decision is reversed. The costs and expenses of such proceedings as fixed by said commissioner shall be equally divided between the adjoining owners, who shall pay the same to said commissioner upon the filing of his decision, and the same shall be accounted for and paid to the State Treasurer; and the cases provided for by this section shall not be included under section 26-195.