From The Army Before Vicksburg

Cairo, 'Jun. 4. The Memp-his BuVetin, just reoeived, Baya the steniner Rattler híid arrived direot from the íleet at Vicksburg, whieh place sbe lelt on Munday eveniug. Fighüng had been going on five on Wednesday. Up to Mouday morniog Sberman had captured thrue lines ol the enemy's works, and was tiring on the fourth and last line. Tho defence on the Jackaon and Vickeburg iioad bad ceased. The iodications were that it had surrendered. Tbis line ia just two miles from Vioks' burg. ' _ There is notliing butween Sherman and the city butthe trestle-works of the railroad. Beforo takiug the fortific&tioös, Shermaii sent a brigade to cut ofï eonimunication with the city by the Shrievport raüjoad. The wurk was successf uil y aceomplished. Hherrnan was reinfcrced on Sunday night by 9,000 rom Graut's army, by way oí the river. TL e whole Federal .forcé at Vieks burg is now 40,000: . At the latest accounts we had cnptured ten guiïs and seven hundred prisoners. Nothiiig has yet been haard from. the forces below. The steamer Judge Torrance was twice fired into on passing Milüninville. In retaliation the Itattler burned the town.