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Later From Rosecrans' Army.



Offensive operations to be Resumed when he arrives.


Buford's Cavalry Cross the Rapidan.

NEW YORK, Sept. 22. — The morning papers contain various speculations relative to the late battles of Gen. Rosecrans, all of which are, however, disputed by the last report sent to the press at an early hour this morning under date of Chattanooga, 22d.

Tribune specials say the general summing up is, after two days hard fighting, in which Gen. Rosecrans, with greatly inferior forces, bore the shock of 140,000 rebels, comprising the armies of Bragg and Johnston, half of Lee's army, and all of Pemberton's scattered troops that could be gathered together, he deemed it prudent to fall back upon Chattanooga, which he did in good order.

At last accounts he had established communications with the cavalry of Gen. Burnside, who is severely censured for not having arrived earlier. Two of Rosecran's divisions are reported not to have behaved badly. It is believed Rosecrans will be put in a position to enable him to resume the offensive. In the meantime he is thought to be strong enough to hold his ground. There is at least reason to believe that the attention of what remains of Lee's army will soon be occupied.

After the 23d all volunteers remaining in the three years organizations, and having less than one year to serve, will, on re-enlisting for three years or for the war, be entitled to a bounty of $102.

The flag presentation to the iron brigade came off Thursday last. Mr. Selick presented the flag. Speeches were made by officers and privates.

The movement of the army of the Potomac has commenced so far as to send forward Buford's cavalry across the Rapidan. The crossing was affected without opposition. It is prophesied but feelble force of rebel intervenes between Meade and Richmond. Commanders who have doubted accumulated evidence of many detachments sent from Lee's army southward now seem inclined to admit the fact, since the news of the Chattanooga battle. Rosecrans is fighting the whole Southern Confederacy.

A gentleman who left Falmouth a few days ago reports that there was no rebel force in or near Fredericksburg and but few pickets were to be seen. The same party says there is only only one brigade as low down as Germania on the Rapidan. There is only one squad of troops now north of the Rappahannock and east of the Orange and Alexandria R. R.

The Herald's Washington special says that nothing has been talked or thought of in Washington to-day ezcept the fate of Rosecrans' army.

It is officially ascertained that he has fallen back to Chattanooga to await the arrival of Burnside's forces, which were yesterday within thirty miles, and expected to be up with him to-day, when a forward movement would be promptly made on the lines of the enemy at Pigeon Mountains.

The utmost confidence is felt here that upon a junction of Burnside with Rosecrans the enemy would be badly beaten and compelled to fall back upon Rome or Atlanta.

In the meantime much solicitude is expressed in regard to the movements of Gen. Meade, as to whether he will take advantage of the depletion of the rebel army in Virginia.

A special to the Herald contains an order refusing to allow correspondents with the army the use of the telegraph lines for the transmission of dispatches to newspapers.

A special to the Herald says the army is now being paid off for July and August.

The news received here to-day via Philadelphia, that 150 men of a N. Y. cavalry regiment had been captured in an engagement at Raccoon Fort, is utterly false. Our entire loss in killed, wounded and missing since last Sunday week has been less than 100 men, while the list of rebel prisoners captured during the same time foots up 8 commissioned, 12 non-commissioned officers, and over 130 privates.

Rebels hereabouts discredit reports that any considerable force of Lee's army has gone to more southern States.