The following correspondence, which took place between Sir James Saumarez and the French Admiral Linois, shows the deep interest Sir James took in the distressing situation of the crew of the Hannibal, of which an account was brought to him by Captain Brenton, together with the assurance that Captain Ferris and his officers would be liberated on parole. Caesar, off Rosia Bay, 8th July 1801. SIR, Solicitous as I am for the welfare of the men unfortunately wounded on board his Majesty's ship Hannibal, and desirous to have them conveyed as speedily as possible to this garrison, I propose to send a boat early to-morrow morning with a flag of truce, and I trust no objection can be made to their coming by her. Being informed that Captain Ferris and his officers have permission to come on their parole, a boat will also be sent for them. I have the honour to be, sir, Your most obedient and most humble servant, JAS. SAUMAREZ. To Rear-admiral Linois, commanding the French squadron at Algeziras. The boat having returned from Algeziras with Captain Ferris and his officers, but not with the crew of the Hannibal, Sir James despatched another boat, with the following letter to Admiral Linois: Caesar, off Rosia Bay, 9th July 1801. SIR, Having received different reports, particularly from Captain Ferris, that the men who had the misfortune of being wounded on board his Majesty's ship Hannibal are left in the most afflicting condition, and are unprovided with every kind of refreshment, I am impelled, from motives of humanity, to renew my application to you that they may be permitted to come to this place by the boat now sent for them; and that you will also permit those wounded men who are confined in the prison, and who, I understand, are without any surgical attendance whatever, to accompany them. I have the honour to be, sir, With all possible regard, your obedient servant, JAMES SAUMAREZ. To Rear-admiral Linois, commanding the French squadron at Algeziras. This application was, however, not attended with success; and the sufferings of the unfortunate wounded at Algeziras were extreme, until circumstances changed, in consequence of the second action. We shall now continue the authentic and interesting communication which Sir Jahleel Brenton has so kindly made to us: