Rear Admiral Nelson, long distinguished for the most gallant and active zeal, was destined to oppose this formidable combination, and to achieve one of the most brilliant Naval victories that stands upon the annals of the world. I will forbear to dwell on an event which is so generally appreciated, and what must be immortal as time itself. Captain Faddy, of Marines, fell on the memorable 1st of August, whose widow and family recognized a protector and a friend in Lord Nelson. Captains J. Cresswell, John Hopkins, and Lieut. John Jewell, were wounded; 46 Marine Soldiers were killed, and 78 were wounded. As usual, the honorary and pecuniary gratitude of the Nation was stretched forth to every rank amongst the conquerors, and its Legislative Bodies conveyed their sense of such splendid deeds, in adequate and animated terms, to all. Upon the following day a general thanksgiving was offered up to heaven, which made not a greater impression upon ourselves, than on the captive Frenchmen, who could not but express their admiration of so solemn an assemblage, at a time of seeming confusion, and when every heart felt all the elations of success. The Admiral also tendered his acknowledgments to all the Officers, Seamen, and Marines, for their gallant behaviour, and for a victory that had been gained by their discipline and good order. No battle on the sea ever produced more signal consequences.--It stimulated Austria to resume her arms, and aroused the effeminate States of Italy to a sense of their glory and their danger. Although eclipsed in comparison, still the subordinate Naval transactions in the Mediterranean were guided by a similar spirit. Lieut. Perry, of Marines, distinguished himself upon a voluntary dash at the corvette Mendovi, which was carried by the boats of the Flora, under a heavy fire from the batteries of Corigo, that brig, and the vessels in the harbour. John Perks, private Marine, was the only brave fellow killed in this daring attempt, and Lieut. Perry was slightly wounded. Captain Digby, and the crew of the Aurora, were likewise noticed for a train of enterprize; and Captain Foote, with all his coadjutors, in the Seahorse, by the capture of La Sensible French frigate. The action of Captain Manley Dixon, in the Lion, of 64, with four heavy Spanish frigates, one of which he took, was a most brilliant affair, in which all under his command were alike deserving.