From The South

Momphis, Juno 28. Tho Grenada Appeal of the 23d learned Ihot tho Federal fleet nuinbured twenty gnnboats and rnortars. They oponed tiro at an e;ul v hour that tnorning on tho lower batteries of Viuksburg". Tho resnlt is not stated. T V:m Dom is in eornmand Ihere, havinguperteded Lovoll in coinmand of the cft-jiM rt iiiortt. A lotter in the sanio paper frafli Chattanooga, lölh says : " We have direct news this rnomiag that tho ooetny is fulHng back befóte oor advance columns l'roin Powell'a Vaüoy to Big Creek Gap. Whilo this is going on, Milchell is moving in our rear in the vicinity of Battla Creek, vvaiting to fal! upon his pray." The Grenada Appeal of the 25th says : " Gonei'al Van Dorn advised all the families of Vicksburg to move eight milos back from the river. Ho intend to dofond the dcpartrnent to ihe last extreme." It also says : " On Saturday last tho Federal ruortar fleet in low of tug-bot8 from below, was repulsed at Grand Gulf by our batteries' sis and twelve pounders. " The same day the gunboats at Yicksbnrg opened a brisk ñie on the batteries, wliich coniJnued ovor an honr without döing any mjury." Of affaire in Arkan:is, the Appeal says : tho rapid movcment of Gen. Hindmfln'a forces has almost rid the State of Curtis' anny, that they succcodud in driving hirn back lo a ]os:tion vvithin a short distanoo of the Missouri line, and vvhen their infonnaiit leR they were till retreating. At the oleetion in this city on Thurs. day, Jno Park, Union candidato, received 72 1. all the votes cast.