A communication has been received by Secretary Seddon from S. B. M., of Vicksburg, proposing to purchase shoes, blankets, etc. in the United States, and sell them to the government for cotton or for Confederate notes. This was referred to the Quartermaster-General, who favors it. Now what will Mr. Secretary do? Better wait till the President returns!

The late Secretary of War, Mr. Randolph, has formed a partnership with Mr. G. A. Myers. To-day a paper was sent in by them to the new Secretary, containing the names of ten clients, all Jews and extortioners, who, it appears, at the beginning of the war, and before Virginia had fully seceded, joined several Virginia companies of artillery, but did not drill with them. They hired substitutes for a small sum, all, as the memorial sets forth, being foreigners of the class subsequently exempted by act of Congress. And these counselors demand the exemption of the Jew extortioners on the ground that they once furnished substitutes, now out of the service! And it is probable they will carry their point, and gain large fees. Substitutes now are worth $2000—then, $100.

A dispatch from Charleston to-day says: “Iron steamer Columbia, formerly the Giraffe, of Liverpool, with cargo of shoes, blankets, Whitworth guns, and ammunition, arrived yesterday.” I suppose cargoes of this nature have been arriving once a week ever since the war broke out. This cargo, and the ship, belong to the government.

9 o’clock p.m.—After a very cold day, it has become intensely frigid. I have two fires in our little Robin’s Nest (frame) on the same floor, and yet ice forms rapidly in both rooms, and we have been compelled to empty the pitchers! This night I doubt not the Potomac will be closed to Burnside and his transports! During the first Revolution, the Chesapeake was frozen over. If we have a winter like that, we shall certainly have an armistice in Virginia without the intervention of any other than the Great Power above. But we shall suffer for the want of fuel: wood is $18 per cord, and coal $14 per cart load.

Gen. Bonham, who somehow incurred the dislike of the authorities here, and was dropped out of the list of brigadiers, has been made Governor of South Carolina.

And Gen. Wise, who is possessed of perhaps the greatest mind in the Confederacy, is still fettered. They will not let him fight a battle, because he is “ambitious!” When Norfolk was (wickedly) given up, his home and all his possessions fell into the hands of the enemy. He is now without a shelter for his head, bivouacing with his devoted brigade at Chaffin’s farm, below the city. He is the senior brigadier in the army, and will never be a major-general.

December 21st, Sunday.—Nothing, yet, has been done by the immense Federal fleet of iron-clad gun-boats which were to devastate our coast this winter. But the winter is not over yet, and I apprehend something will be attempted. However, we shall make a heroic defense of every point assailed.

I omitted to state, in connection with the partnership formed between Mr. Myers and Mr. Randolph, that the former had already succeeded, when the latter was Secretary of War, in getting the substitutes of the Jew extortioners out of the army, on the ground that they were not domiciled in this country; and now both are intent on procuring the exemption of the principals. This may be good practice, but it is not good service. Every man protected and enriched by the government, owes service to the country in its hour of peril.

I am glad to hear that W. H. B. Custis, of the Eastern Shore of Virginia, takes no part in the war. This is the proper course for him under the circumstances. It is said he declined a high position tendered by the Federal Government. No doubt he has been much misrepresented: his principles are founded on the Constitution, which is violated daily at Washington, and therefore he can have no sympathy with that government.

December 22d.—We shall never arrive at the correct amount of casualties at the battle of Fredericksburg. The Enquirer to-day indicates that our loss in killed, wounded, and missing (prisoners), amounted to nearly 4000. On the other hand, some of the Federal journals hint that their loss was 25,000. Gen. Armstrong (Confederate), it is said, counted 3500 of their dead on the field; and this was after many were buried. There are five wounded to one killed. But where Burnside is now, or what he will attempt next, no doubt Lee knows; but the rest of our people are profoundly ignorant in relation thereto. The New York Herald says: “The finest and best appointed army the world ever saw, has been beaten by a batch of Southern ragamuffins!” And it advises that the shattered remains of the army be put into winter quarters.