CEMAES, ANGLESEY.—At daybreak on the 5th of October a steam-tug entered the bay with a flag half-mast high and blowing her whistle. The Life-boat Ashtonian was launched, and was towed by the tug to the wreck of the ship Earl of Chatham, on the mainland, a little to the eastward of West Mouse Island. The crew had been taken off by the tug; but it was thought that there were some stowaways left on the vessel. The Life-boat men boarded the ship, but found nobody there; they however rendered good service in saving the captain's instruments, papers, &c., and afterwards put some of the vessel's crew on board to launch one of the ship's boats and recover the sailors' clothes, &c..