From Richmond—Casualties In the LateBattle.Richmond, June G.—The official statement of the casualties in the 3d Brigade, Gen. R. F. Rhodes, shows the following summary: 12th Mississippi Regiment, 5 officers and 35 men killed, and 2 officers and 138 men wounded.Sixth Alabama Battalion, 11 officers and 91 men killed, and 18 officers and 204 rneu wounded.Fifth Alabama Regiment, 1 officer and 2G men killed, and 9 officers and 159 menwounded.Twelfth Alabama, 5 officers and 55 menkilled, and G officers ami 133 men wounded.Total officers killed.....................22“ privates killed.................. 207Total killed..............................229Total officers wounded................35“ privates wounded............094Total wounded...........................729Total killed and wounded in the ThirdBrigade................................958