DUBLIN CASTLE, 10th June, 1798. ACCOUNTS were received early this Morning by Lieutenant General Lake from Major General Needham, at Arklow, stating that the REBELS had, in great Force, attacked his Position in Arklow, at six o'Clock Yesterday Evening. They advanced in an irregular Manner, and extended themselves for the Pur- pose of turning his left Flank, his Rear and right Flank being strongly defend- ed by the Town and Barrack of Arklow. Upon their endeavouring to enter the lower End of the Town, they were charged by the Fourth Dragoon Guards, Fifth Dragoons, and Ancient Britons, and completely routed. All round the other Points of the Position they were defeated with much Slaughter. The Loss of his Majesty's Troops was trifling, and their Behaviour highly gallant. A Letter has also been received from Major- General Nugent, at Belfast, dated the 9th Instant, which states, that the REBELS were dispersed in all Direc- tions, except at Toome, whither General Knox and Colonel Clavering were pro- ceeding ; and that many of them had laid down their Arms. The Major- General also states, that Mr. M'Cleverty had returned from Donnegar- Hill, whither he had been carried Prisoner by a Body of 2000 REBELS. Whilst they were in this Station they disagreed and quarrelled among themselves, and from his Influence above fifteen Hundred left the Camp, broke and destroyed their Arms, and swore they would never again carry an offensive Weapon against his Majesty or his loyal Subjects; many more dispersed, and the Com- mander of them was left with fifty Men only. In Colonel Durham's Letter respecting the Action at Antrim and Randalstown, ( which was stated in Yesterday's Bulletin,) he expresses strongly his Obligations to Lieut. Col. Ker for his Exertions; to Major Smith for his judicious Distribution of the 22d Light Dragoons ; to Captain Coulson, of the Artillery ; and to Cap- tain Rainey, and the Gentlemen of the Belfast Cavalry. He also makes parti- cular Acknowledgments for the Advice and Assistance he received from Lieu- tenant Colonel Peacock; and he speaks in the highest Terms of the whole De- tachment. DUBLIN : Printed by GEORGE GRIERSON, Printer to the King's Most Excellent Majesty.