SEDGWIDK'S HEADQUARTERS, April 29, 1863-3.30 p. m.

Captain CUSHING:

About 8,000 or 10,000 infantry and four batteries, followed by an ammunition train and ambulances, have just along in the direction of Fredericksburg, opposite this point.

HILL AND BROOKS.

F SIGNAL STATION, April 29, 1863-4 p. m.

Captain CUSHING, Signal Officer, General Headquarters:

Twelve regiments of infantry and sixty wagons and ambulances moving up toward Hamilton's Crossing from below. Wagons are still coming, but the thick atmosphere stopped our count at sixty.

P. A. TAYLOR,

First Lieutenant, Signal Officer.

APRIL 29, 1863-5 p. m.

Captain CUSHING:

Received dispatch relative to resting troops to-night.

M. T. McMAHON,

Assistant Adjutant-General.

APRIL 29, 1863.

Commanding Officer Second Corps, Banks' Ford:

The commanding general does not care about your movement to the United States Ford being kept secret from the enemy. He wishes you to march to-day and by the best road. He also desires to know what road you have repaired.

S. WILLIAMS,

Assistant Adjutant-General.

APRIL 29, 1863.

Commanding Officer Second Corps, Banks' Ford:

The commanding general directs that you encamp with your two divisions to-night at the United States Ford, leaving a company at Banks' Ford, and that you keep the road you have been repairing clear of wagons. The wagons must take the field on the right and left of the road. Please acknowledge.

S. WILLIAMS,

Assistant Adjutant-General.

CAMP NEAR FALMOUTH, VA., April 29, 1863.

Major-General SICKLES, Commanding Third Corps:

GENERAL: The major-general commanding directs you to hold your command well in hand and all in readiness to march at a moment's notice.

By command of Major-General Hooker:

Very respectfully, your obedient servant,

S. WILLIAMS,

Assistant Adjutant-General.

(Copy for information of Major-General Sedgwick respectfully furnished.)