THE NEW YORK HERALD, MAY 18, 1863

8 pages. GRIERSON'S EXPEDITION. The Great Cavalry Operations in the Southwest. The Most Brilliant Feat of the War. Over Four Millions of Property Destroyed. Capture of Over a Thousand Men and Twelve Hundred Horses. Destruction of an Extensive Camp of Instruction With All Its Armament. Portions of the Great Northern and New Orleans and Jackson Railroads Destroyed. About Two Hundred Cars, Immense Quantities of Ammunition and Stores Burned, Water Tanks Entirely Ruined, and Telegraph Wires Cut. Arrival of General Grierson at New Orleans. His Reception and Presentation. IMPORTANT FROM THE SOUTHWEST. The Army of General Grant in Mississippi. Rebel Reports of the Occupation of Jackson, Miss. by General Grant's Forces. Spirited Engagement at Thompson's Hill. DEFEAT OF THE REBELS. Partial List of the Federal Loss. Details of the Capture and Occupation of Port Gibson. Its Results. The Enemy Driven North of Big Black River. NEWS FROM HOOKER'S ARMY. The Rebels Throwing Up New and Extensive Earthworks. The Stoneman Expedition. Official Report of Lieutenant Colonel Davis, 12th Illinois Cavalry. Their Operations in the Enemy's Lines. Capture of Arms, Clothing and Provisions of the Rebel Government. The Telegraph Cut and Railroads Damaged. Sharp Fight With The Rebels at Tunstall's Station. The Property Destroyed Estimated at Millions of Dollars. Rebel Accounts of the Operations of Fitzhugh Lee's Cavalry During Stoneman's Raid. Operations of Mosby's Cavalry. Total Destruction of Crenshaw's Mills. Important From New Orleans. Capture of Alexandria on the Red River by Admiral Porter. Arrival of Admiral Farragut in New Orleans. More news. Light age toning and wear. Very fine.