Pusiuk, Tuesday, July 7—113* P. M.Smx Lath.—Tbs following dispatch hat just been received from Mr. E, A. Paul. your gallant onairy ■oorreipondent with Gen. Kiupatijcx.Sootb Howtinr, Md.. Sunder, July i, 1863.Goo. Kuiimui'i command left 1u position our Octtyibuigh on Saturday, July 4, ud started urow the Mountain by way of Monterey Gap, paaalng through EmmlUaburgh, FountainilaJe, to Monterey Gap, Waterloo, Redgeville aod SaUthburgfi. Md., where the commend made 1 temporary hell. The train of Gen. Eviu'i corpj wee struck near tt* eentie where the pike cioeaee the’Monterey road on the weiterijr elope ^of the Mountain. Bafore enivtag at this place the commend had captured lour miles of wagon trains, between 1.30® and 2,000 prisoner#, cavalry and infantry, about *» officers, end 3,000 horeei and mules— In fact, the entire train of Ewau'toosuxtand, which wee strongly guarded by bom cxrafcy and Infantry. Among the prisoners are a large nnaher of Gen. EAaLt’* division.Having erTltten to much, 1 started with a scoot and CapL Eerie to reach Gen. Pu«iiaton’i beadQuartera, and we were chawd lour mites by rebel cavalry. 1 (end Ibis by a scout. MqCollocbb. We are «ur-ruuaded, and expect a flghl every moment. We ihallE. A. PAUL.Fudiricx, Md.. Wednesday, July 8.tt t« again necessary to caution the public against estimating the results of tbs let# battle too highly.Tm mnder of nr tinners caDlU'td. Including tfm i