Wasxixotox, June 1, The following dispateh Tras received ; at tl;o Vv'nr Department ihis aftornoon : Plbid of Batti.e, June 1-12 M. Wo h:ivii had a desperate battlo, n ; vhiph the corps of General Sumwêr, Heinizelman and Keyes wiere dngaged, nu;ainst gteatly superior numbttfn. - Yesterdny at on0 p'dock tho eneniy, taking advaníajfjB f r, terrible storm, ahoh Qooded iho valloy rf the , hoininv, attaclípd o ir liiht dank, Cti-p. Caney' düvrnioc, which was in tho first line, gare vay ujiiicconntaMy. j Tiiis unutied ten) pora iy coninsion, dnrpg wbiuh the guna ond baggae rere lost, bnt Heintzelroari and Kenrnny most gallanlly brongbt u-p their troop?, which checked tho enorny. At the ! Riumt time, I Buccáeded, by grent exerlion. in bringing acroga Generáis Sedgwiok'a and Richarilsóa's división, ! who diovü back tho enumy nt the point oflh') bayoüot, eovcring tho ground wjth his dead. Thia morning tho eneiTiy Rttemptcd io renew tho uonilict, but v:is cvi-rywierc repulsed. Wo havo taken many prisnners, among whom are Genurál Péttigrow :ind Colorid Luog. Our loss i.s heavy, but the enemy's iiinst be enormoue. Excepting Casey's división, tho men behaveri ttpJeiididly. Soveral fim; bayonet ohargea were made!