Whenever any person or persons whosoever shall take or cause to be taken up, within the bay or river Delaware, any anchor or cable, he or they shall bring the same to the port of Philadelphia, and immediately file a written notice thereof, in the office of the wardens of the said port, stating the time when and the place where such anchor or cable was taken up, and shall also cause a copy of such notice forthwith to be inserted in one of the English newspapers of the city of Philadelphia, and continue therein twice a week for the space of two months, unless the owner or owners thereof, his or their agent or agents, shall, before the expiration of the said period, file a claim in writing in the said office, to such anchor or cable, and if upon the filing of such claim sufficient proof of the property of such claimant be made within a reasonable time, to the satisfaction of the board of wardens, every anchor or cable so taken up and claimed as aforesaid, shall be restored to its proper owner or owners, his or their agent or agents; he or they paying to the person or persons, so taking up and bringing the same to the said port, one-half of the value thereof, if taken up between the northernmost part of Reedy Island and the capes of Delaware, and one-third of the value thereof, if taken up between the northernmost part of said island and the port of Philadelphia; which valuation shall be made by two persons respectively to be chosen by the parties, who in case of disagreement shall appoint a third, whose decision shall be final.