June 14th.—W——ll, one of the Winder detectives that fled to Washington last year, is back again. But the Mayor has arrested him as a spy, and it is said a lady in the city can prove his guilt. Gen. Winder wanted to bail him; but the Mayor was inexorable, and so W——ll is in the jail, awaiting his trial. Two others, of Winder’s police, have likewise been arrested by the city authorities for some harsh treatment of a citizen supposed to have a barrel of whisky in his house. The justification offered is the jurisdiction of martial law, which Gen. Winder still thinks exists, although annulled by Congress.

The company (of 104) organized in the War Department as independent volunteers for local defense, being objected to by Gen. Elzey, because they would not be subject to his command, was rejected by the President, who insisted that the officers of the departments (civil) should be mustered into the service under the act of August 21st, 1861, and are subject to his control, and liable to be attached to battalions, regiments, etc., he appointing the field and staff officers. This was communicated to the lieutenant of the company by the Secretary of War, who stated also that the President required the names of all refusing to reorganize on that basis to be reported to him.

There is an indefinable dread of conspiracy, and the President is right, perhaps, to frown upon all military organizations not subject to his orders. Mr. Randolph, late Secretary of War, has been very busy organizing the second class militia of the city for “local defense,” under the supposition that he would command them; but the President has made a requisition for 8000 of this class of men, for the same purpose, which will put them under Confederate orders, perhaps. A jealousy, I fear, is growing up between Confederate and State authority. This when the common enemy is thundering at all our gates!

June 15th.—The enemy have abandoned the vicinity of Fredericksburg, falling back across the river, and probably retiring toward Alexandria, or else they have taken to their transports, and intend making another effort to capture Richmond. It is rumored that Gen. Ewell has taken Winchester; but this, I think, is at least premature.

Certainly the government is taking steps to guard against a blow at Richmond. All the civil officers (subordinates, only, of course) are being mustered into the service for “local defense or special duty;” but Gen. Elzey, the Marylander, it is reported, has said the “d——d clerks have given me so much trouble, that I intend to keep them on duty in such a way that they cannot perform their functions in the departments, and so others must be appointed in their places.” This would be in violation both of the Constitution and several acts of Congress. Yet they are to be mustered in this evening “for three years, or the war.” And the Secretary of the Treasury has announced that all who refuse to volunteer are to be reported, by the President’s command, and will be removed. The President has intimated no such thing. Of course they will volunteer. There is much censure of the President for “bad faith”—most of the clerks being refugees, with families to support.

Mayor Mayo has refused to admit Gen. Winder’s three policemen (all imported) to bail, and they remain in prison; and Judge Meredith has refused to discharge them on a writ of habeas corpus—resolving first to test the validity of the martial law set up for them in their defense.

I believe the government is acting on my suggestion to Col. Johnston, A. D. C., in regard to searching blockade-runners, caught in the lines, bearing sealed letters to the North. To-day the Attorney-General sent to the department, for Mr. Seddon’s approval, instructions to Confederate Attorneys and Marshals to aid and co-operate with M. Greenwood, a detective agent of the government. I think about the first men he detects in treasonable practices will be Gen. Elzey and Gen. Winder’s detectives.

Mr. Vallandigham has been nominated for Governor of Ohio.

The following are the conditions upon which women and children can come to the South, or go to the North, published in Washington and Baltimore:

First.—All applications for passes to go South must be made in writing and verified by oath, addressed to Major L. C. Turner, Judge Advocate, Washington, D. C., as follows: