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The News.

We have news form Gen. McClellan's army by our afternoon dispatches, as late as the morning of the 7th. The most noticeable feature is the statement that the army had advanced five miles toward Richmond. Skirmishing had been frequent, in which our troops had gained the advantage. The rebel army seems to have retired toward the city, and McClellan is now said to be will intrenched, with no fears of a successful flank movement on the part of the enemy. Gen. McClellan was pushing forward with the aid of the gunboats, and seems disposed to give the rebels no time for rest. The amount of reinforcements which have reached him, is said to be exaggerated.

There are conflicting rumors in reference to the approach of Gen. Burnside, though there is strong reason for believing that his forces are under march to join the army of the Potomac. The allusions to a certain General looked for at Fort Monroe are believed to have reference to him.

The rebels are said to acknowledge a loss in killed, wounded and missing, of 30,000 men, while some of officers assert that it was 75,000, or nearly half of their whole army. Our own loss is estimated by some newspaper correspondents at 25,000, but there is no official statement of the amount.

Among the killed is Capt. Rose, formerly Principal of an Academy at Monroe, Michigan. A large number of his pupils are among the killed and wounded.

The rebels have refused to receive flags of truce sent over by Gen. McClellan, which is believed to indicate that their loss has been very heavy.

There are rumors of dissensions among the rebel leaders — Beauregard having been suspended by order of the rebel President. It is intimated that if this should prove true, a storm will be raised about the latter functionary, that may result in no good to the Confederacy.

The President has nominated Gens. Sumner, Keys and Porter to be brevet Brigadier Generals of the regular army, and Major Generals of volunteers, for gallantry shown on the field.

There is a suspicion that the reported death of the rebel General Jackson is a ruse.

Another raid on the Shenandoah Valley is thought to be a part of the rebel programme.

Prisoners assert that 50,000 of Beauregard's army arrived at Richmond before the evacuation of Corinth, and 25,000 afterwards. This is in contradiction of recent reports from the South.

The attempt on the part of the rebels to secure a general exchange of prisoners had failed, in consequence of the refusal of the Government to accede to terms. The Federal prisoners sent North to arrange for the exchange have returned South according to the terms of their parole to receive the treatment of prisoners of war.