From Cairo

Cairo, Dec. 8. Information from Memphis shows that a fight occurred lust Tbureday mormng, near Oxford, between Gen. Inson, of' t!ie ConfeJerate cavalry, witli infaptry and a battory, and the advunce of the Federal array, in whieh tlio latter, being a ernall foce, wero severely repulsed. The main body of tha rebels pased through Oxford twelve houi-s j before the opproach of onr troops. - The eoemy are ropcrtfed to havu -10,000 uöeetive men, but aro demora'ized Lo consequeuce of their recent retreat. Yelarr from ;i very reliablo source tliat Embetton and Prieta had som how ieach;d Grenada, wheie they in tend to niake a stand. L;iter intolliger.ee - ;ix hoiirs later - has besn received from Grenada. A man who k-íi there says the cxpedi'.ion from Helena, ocoupios Grenada, and not tho troopa oí the oneniy. This ruport is probably the true ono. The diígraceful surprise of General Dumont's brigade in Tennessee creuts considerable indignalion in this city, whure the One Hundred and sixth and One Hundred and eighth Ohio regirr.etits ware raised. It U reported that Gen. Hovey's división recontly in possessioo ot Grenada, ñt'ty miles befow Oxford, where the rebel wero in forcé, havo been mist by t!'e enemy and drivun to the wail. Grant could not push his l{)rco towards Oxford, as ho det-ire(j on account of b-id roadsj &e., and the rebels, learning of Hovey's movementa, threw their whole force upon hiin, and compellcd Hovey to retreat before superior numberas ïho particulars of this last piece of atrutegy has gone to Wasliington, but they are not yet pennitted to be made public. It isalsostated by private dispatches that Jaekspn is being strongly fortified i, y tlie eneiny, which, if true, abandona ! Viokbburg and the Mtssissippi River to the IudeiUi' Uircce, a[id is an important achievc-.ne.it, as n-úsing the rebel block ado of the MissL-sipni cuts ofi their supplies from Texas if thev fall back from Jackson, they will ferm a conoentraiion of all their lorces in tho Southwest, and a dash northwsirdlv is cnntemplutod. All the available forco is nnw being sent to Tulhihorna and Murireesboro, the fonner placo benig Biagg's etandpoint. The response to the conscript law in Bastera Tennossee ia not brisk, and thousands of Union mon are fleeing to tho mountains, determineil t avoid being iorced iüto tho rebel service. At military headquarters important intulligenee trom our armies in the Southwest is expectod in ton days.