BULL BAY, ANGLESEY.—On the afternoon of the 7th October the s.s. Arabian, of Liverpool, bound from Liverpool to Gibraltar with a general cargo, went ashore about a mile and a half westward of the East Mouse, near Bull Bay, during a dense fog. The Life-boat Eleanor proceeded to the vessel and remained by her at the request of the captain until she was got afloat at about 1 o'clock on the following morning. After going out to sea with the steamer, the Life-boat had great difficulty in finding her way back to her station, on account of the density of the fog..