There are two notable rumors in the streets: first, that we have gained a great battle in Tennessee; and, second, that the government at Washington has arrested John Van Buren and many other Democratic leaders in the North, which has resulted in a riot, wherein 1000 have fallen, making the gutters in New York run with blood!

Gen. Lee’s official report says our loss in the battle of the 13th in killed and wounded did not exceed 1200, whereas our papers said 2050 wounded have already been brought to this city.

Well, our government must have spies at Washington as an offset to Federal spies here among Gen. Winder’s policemen; for we knew exactly when the enemy would begin operations in North Carolina, and ordered the cotton east of the Weldon Railroad to be burnt on the 16th inst., yesterday, and yesterday the road was cut by the enemy. I have not heard of the cotton being burnt—and I don’t believe it was destroyed. Nor do I believe Gen. Smith knew that Burnside would be defeated in time to send troops from here to North Carolina.

Elwood Fisher died recently in Georgia, and his pen, so highly prized by the South for its able vindication of her rights, was forgotten by the politicians who have power in the Confederate Government. All Mr. Memminger would offer him was a lowest class clerkship. He died of a broken heart. He was more deserving, but less fortunate, than Mr. M.

It was Mr. Memminger, it seems, who refused to contribute anything to supply the soldiers with shoes, and the press is indignant. They say he is not only not a native South Carolinian, but Hessian born.

December 18th.—We have more accounts of the battle of Fredericksburg now in our possession. Our loss in killed and wounded will probably be more than the estimate in the official report, while Federal prisoners report theirs at 20,000. This may be over the mark, but the Examiner’s correspondent at Fredericksburg puts down their loss at 19,000. The Northern papers of the 14th inst. (while they supposed the battle still undecided) express the hope that Burnside will fight his last man and fire his last cartridge on that field, rather than not succeed in destroying Lee’s army! Lee’s army, after our victory, is mostly uninjured. The loss it sustained was not a “flea-bite.”

The enemy, in their ignominous flight on Saturday night, left their dead propped up as sentinels and pickets, besides 3000 on the plain.

Accounts from North Carolina indicate the repulse of the enemy, though they have burnt some of the railroad bridges. We shall hear more anon. Reinforcements are flying to the scene of action.

December 19th.—Gen. Burnside acknowledges a loss of upwards of 5000, which is good evidence here that his loss was not less than 15,000. The Washington papers congratulate themselves on the escape of their army, and say it might have been easily captured by Lee. They propose, now, going into winter quarters.

We have nothing further from North Carolina or Mississippi. Gen. Banks’s expedition had passed Hilton Head.