We should add, that Hamet, to satisfy himself of the truth of Eaton's representations, sent one of his followers to Barron, who confirmed the treaty; and that the Commodore, when he received Eaton's despatch, announcing his departure from Aboukir, wrote back a warm approval of his energy, and notified him that the Argus and the Nautilus would be sent immediately to Bomba with the necessary stores and seven thousand dollars in money.