Submitted by James M. Burton

THE NEW-YORK TIMES
VOL. XII - NO. 3728.
NEW-YORK. FRIDAY, SEPTEMBER 4, 1863.

GEN. ROSECRANS' ARMY.
Chattanooga Invested.
Special Dispatch to the Washington Republican.
STEVENSON, Ala., Monday, Aug. 31, -11 P. M.

ROSECRANS' army is nearly all across the Tennessee River, and Chattanooga is well invested. A heavy cavalry and artillery force has gone in the direction of Dalton Junction, in Georgia, on the Western and Atlantic Railroad. If this road should be cut at this point, and it undoubtedly is before this time, it would greatly facilitate ROSECRANS' operations, by the fact that it destroys BRAGG'S entire Southern communication, and leaves him none except the Tennessee and Georgia Railroad to Kingston and Knoxville, in Tennessee, which will probably be in possession of BURNSIDE before this reaches you.

It was reported yesterday that a portion of BRAGG'S forces were making demonstrations for a movement northeastward toward Kingston, to reinforce FORREST, and probably with the purpose of attacking BURNSIDE and saving Knoxville from falling into his hands. If this turns out to be true, of course ROSECRANS will take advantage of it, and his work before Chattanooga will be much easier. He is very active, being in the saddle night and day.