From The Mississippi

M(.-mphis,Sept3. By tlie arrival of tho Progresa, advicef from Bayou Motaire and Duvall's Bluffto the Sist uit., have beeen received. ' General Davidson, with an arroy 0 artillery and cavalry, numbering about' 8,000 men, moved from Brownsville, on' the 26th, and met the pickets of'ttb' enemy at a place on Bayou Metaire' known as Bayou Metaire Bridge, 'il foroe of rebels was estimated at abou{ 7,000, posted on an eminence quite diffi. cult of access, which cotmuanded ftj mrun road to the bridge over whieh Gen Davidson intended to move. ït wss soóti apparent to Gen. Davkison tbat in order to gjjin that point the enetay ïnöst firgj' be disloded from Lis positiöo. Beaïf skirmishing eontinued till towards h'tgl'twhen both armies oeased firir.g. Casual ties, owing to the distance between the contending armies, were light. Ourloss in killed and wounded did not exeeed twenty-five men. During the night Maf Gen. Davidson placed hisguns in position aod early on the morning of the 28tb' they commenced their work of destruction. It took but a few rounds to satisfv the rebel General commauding of tÜe futility of attempting to hold Kis positiou, Our boys pointed grape and shell among the rebels with süch impetuosity that before the middle of the day tliey commenced falling back, and before sun. set not ,i butternut soldier, save prisoners, was on tho north and east side of Bayou Metaire. As soon as the rebeli bad gair.ed the opposite bank the torcb was put to tlie bridge, whieh was sooi oonsumed with fire. Their loss in tbat brilliant fight was 200 prisoners, Wnï killed and wouuded, many of whom. are left on the field. Our loss is aboirt tbivtynine killed and wounded, The health of the army is fair.