Information of the capture of the Philadelphia did not reach the United States until March, 1804; and it seems to have produced upon the American government the same effects which it had upon the officers of the squadron. It infused energy into its councils, and determined the President to act with more vigor than he had hitherto manifested; he resolved "to send to the Mediterranean a force which would be able, beyond the possibility of a doubt, to coerce the enemy to a peace, on terms compatible with the honor and the interests of the country." Four frigates were prepared for this purpose, and placed under the command of Commodore Samuel Barron, who was furnished with extensive authority, to act against or treat with the Barbary powers. News had arrived that Hamet had met with some successes in his expedition from Derne against his brother, and the President "considering that concerted operations by those who have a common enemy were entirely justifiable, and might produce effects favorable to both, _without binding either to guaranty the objects of the other_," says in his instructions to Barron, "with respect to the ex-Pasha of Tripoli, we have no objection to your availing yourself of his co-operation with you against Tripoli, if you shall upon a full view of the subject, after your arrival upon the station, consider his co-operation expedient." Eaton had been appointed to accompany the squadron as navy agent for the Barbary states, with a view to his being employed, in case a junction with Hamet were determined on; but he was placed entirely under the orders of the Commodore, and is merely mentioned in the instructions to that officer as likely to be "_extremely useful_." Before the departure of the squadron, information was received that Hamet had been deserted by his followers, and had taken refuge in Egypt. Of his expedition no particulars appear to be on record, and no account can be obtained of the circumstances which led to his failure: but between Yusuf in possession, and Hamet as pretender, unsupported too by any man of strong character, and without resources, the contest could not have been doubtful. No change however was made in the destination of Eaton, who sailed with the squadron in the above mentioned capacity, in July, 1804, and arrived at Malta on the 5th of September following. He there learnt that Hamet, fearing to trust himself in the hands of the Turkish authorities in Egypt, had taken refuge among the revolted Mamelukes, in one of the provinces up the Nile. This did not discourage Eaton; determining at least to have an interview with the exiled Prince, he prevailed on Commodore Barron to commit the affair to his charge, and sailed with Captain Isaac Hull in the brig Argus for Alexandria, where he arrived on the 25th of November, 1804. (_To be continued_.) For the Southern Literary Messenger. IMPROMPTU, On seeing that the Publisher of the Messenger had changed the color of its covers.