Brig.-Gen. S. A. Meredith (United States) writes from Fortress Monroe, proposing that prisoners west of the Mississippi be exchanged at Galveston. Mr. Ould, our agent of exchange, indorses on it that there is no necessity for immediate action, for the United States are not exchanging any prisoners at all at this time.

Mr. Memminger writes for troops to be sent to Ashville, West North Carolina, which is menaced by the traitors, tories, and Federals. His family is there, having fled from South Carolina. Hon. Jas. Farron also writes that a bad state of things exists in that section, and communication is kept open with the enemy in East Tennessee.

From St. Helena Parish, Ark., we have letters stating that all restraint is thrown off, and everybody almost is trading with the enemy. Some 1500 bales of cotton per week is taken to the Yankees from that region. They say most of the parties have permits from the government or from commanding generals to trade with the enemy.

Gen. Whiting writes that his men are suffering for shoes, and as 15,000 pairs are in that town, asks if he shall not impress them. The Secretary is reluctant to do this, and asks the Quartermaster-General what he shall do. The Quartermaster-General advises that the shoes be bought at a fair price, and paid for in cotton. He says blankets may be had in the same way.

November 3d.—Gen. Lee writes that he will endeavor to protect the workmen while removing the iron at Aquia Creek, but he fears the work has been too long delayed. The government has been too slow.

Gen. Sam Jones writes from Abingdon that his cavalry was at Jonesborough on the 30th ult., although the enemy’s raiding parties were on this side. He says if he had a little more infantry, he could soon clear East Tennessee of the foe; and asks that an order from Gen. Cooper (A. and I. G.), calling for two of his best regiments of cavalry, be revoked.

In Gen. Lee’s recent campaign beyond the Rappahannock, our losses in killed, wounded, and missing amounted to 1740; the enemy’s losses must have been three times that number.

The President made a speech in Charleston on the 1st instant. We have copies from him to-day of his correspondence with Gen. Bragg since he left Chickamauga field. Gen. B. says he will immediately call for Hardee’s brigades, promised him, and without delay commence operations on the enemy’s left (it is too wet on the right), and drive Burnside out of East Tennessee. But he complains of Gen. Buckner, who assumes to have an independent command in East Tennessee and West Virginia. The President replies that neither Bragg nor Buckner has jurisdiction over Gen. Jones in West Virginia, but that he gets his orders from Richmond. He does not promise to remove Buckner, whom he deems only impatient, but says he must be subject to Bragg’s orders, etc.

Gen. Bragg has applied for Gen. Forrest (who went some time since to Mobile and tendered his resignation, in a pet with Gen. Bragg) to command a cavalry force in North Mississippi and West Tennessee. In short, the President is resolved to sustain Gen. Bragg at the head of the army in Tennessee in spite of the tremendous prejudice against him in and out of the army. And unless Gen. Bragg does something more for the cause before Congress meets a month hence, we shall have more clamor against the government than ever. But he has quashed the charges (of Bragg) against Gen. Polk, and assigned him, without an investigation, to an important command.

November 4th.—Mr. M———, Major Ruffin’s commissary agent, denies selling government beef to the butchers; of course it was his own. But he has been ordered not to sell any more, while buying for the government.