On Thursday Evening, the 13th Instant, one of the Rebels larger Callies, called the Spitfire, carrying two 18 Pounders in her Bow, t~o 12 Pounders in Stern, four 4 Pounders in her Waist, and 16 Swivels, attempted to pass by Bristol Ferry, in her way to Providence, but was not able to accomplish that Design. In the Night she got aground, on the North-East Point of Land of the Common Fence. Being discovered in that situation in the Morning, Capt. Brady sent down the British Field Artillery upon the Beach, as near to her as possible, and so soon as they began firing, the Rebels escaped from the Galley, in their Boat, with warmest Precipitation. Some Shot and Shells were fired into the Galley, to prevent her ever floating again; but upon a Canoe being drawn to the Water-Side by Oxen, Capt. Brady, of the Royal Artillery, went on Board, brought off some Fire-Arms, and set the Galley on Fire. The other Galley of the Rebels, at Rowland's Ferry, came out of their Creek, and shewed some intention of getting up to protect her consort on the Shore; but on receiving a few Rounds from the Cannon, she tacked about and went back, well recollecting the shattered and miserable Condition the Artillery had put her in, when she was caught within their Reach, about three Weeks before. The highest Encomiums are due to the naval Force, for their good Intention of assisting on the Occasion. Two Boats were manned and sent from the Diamond frigate, Captain [Charles] Fielding, on the West Side of the Island: They passed, with the greatest Intrepedity, the Enemy's Battery and Fire at Bristol Ferry, and came in Time to save Some of the Sails, Swivels, &c. out of the Galley. Some of the British and Hessian Troops were assembled and came down upon the Common Fence, with the utmost Alacrity, to be there in Readiness to support the Artillery, in case the Rebels hacf been inspired with Resolution sufficient to have brought over a Force, to endeavour saving their Galley from Destruction; but all their Efforts were confined to firing some shot from Rowland's Ferry; and Sunday following, the 16th instant, a little before the Dusk of the Evening, a Rebel Galley attempted to pass by the Ferry at Bristol, but was immediately discovered, and Orders were given by the Officer commanding in the Redoubt, to the Gunner of the Guard, to lay the Guns for her. The second Shot fired from the 18 Pounders carried away her Foremast, which caused much Confusion on Board; and on the Gunner's firing five more Shot into her, between Wind and Water, our Centinels, at the Water-Side, heard the People from the Galley hale the Rebels on Shore, saying that they were sinking, and prayed that Boats and Assistance might immediately be sent them, to lighten the Galley, which they run close into the Shore. On the Officer commanding the Redoubt sending an Express with the above Account to Brigadier-General Smith, he was pleased to give Directions to Captain Brady, of the Artillery, who went, with the utmost expedition, to the Ferry, fired from the 18 Pounders several Times in Hopes of hitting the Galley, though in the Dark, and ordered down his Field pieces and Howitzers; but the Rebels had, with the utmost Diligence, brought their Boats from Bristol, and towed the Galley away, under Cover of the Night.

At Day-Light on Friday Morning, two Fire-Vessels, a Brig and a Sloop, cover'd by a Sloop of 14 Guns, came down from Providence, with an Intent to burn his Majesty's Ship the Cerberus. On discovering them, and finding what they were, by their Grapples at the Jib-Booms and Yard-Arms, Capt. Symmons got the Cerberus under Sail. One of them, the Sloop, ran ashore, and, finding themselves likely to be taken by the Boats, they set Fire to her; the other Fire-Vessel, the Brig, and the Privateer-Sloop, got into Greenwich Harbour.

The following Prizes have been brought into this Port since our last: The Chance Sloop, from Hispaniola to Rhode-Island, with Molasses, Coffee, and Rum, and a new Sloop from New-London to Hispaniola, by the Juno; the Olive Schooner, from Cape Francois to New-London, with Salt and Molasses, by the Unicorn; a Sloop and a Schooner, by the Amazon.