WAR DEPARTMENT, May 10, 1864.

General BRAGG:

On inquiry I find Dublin Depot to be in Pulaski County at a point ont e railroad designated as "Thorn's Sprin." The New River bridge is on this, the eastern side. Consequently McCausland's shattered force is between the enemy and Lynchburg; but, unless Jones interposes, there is only a very small guard between the enemy and the salt-works and lead mines.

Resepctfully,

J. A. SEDDON,

Secretary of War.

[37.]

PETERSBURG, May 10, 1864.

General B. BRAGG,

Richmond, Va.:

Have just arrived. WIll take the offensive as soon as practicable.

G. T. BEAUREGARD.

[36.]

PETERSBURG, May 10, 1864 - 2.30.

General B. BRAGG,

Richmond, Va.:

Geenal Hoike has just arrived. YOur order of the 9th instant, 10 p. m., has been communicated to him for immediate execution. Please state definitely what is meant by his whole force. The troops now in thies vicinity are as follows: Across Appomattox, Johnson's brigade, Hagood's, Hoke's, three regiments of Wise's, two of Ransom's, and four light batteries in city works; and arriving to- day, Clingman's brigade, htee regiments of Ransom's one of Wise's, 422 men City Battalion and militia, and isx light batteries. Please answer immediately.

G. T. BEAUREGARD.

[36.]

PETERSBURG, My 10, 1864.

General B. BRAGG:

I am organizing rapidly bbrigades already here and those arriving into two divisions under Pickett and Hoke, with battalin of artillery to each division. Many battalions are still en route. Hope to be in position for offensive to- morrow night. Will inform you in time from GeernaL Ransom.

G. T. BEAUREGARD.

[36.]

PETERSBURG, May 10, 1864.

Genal B. BRAGG,

Richmon, Va.:

Up to this hour, 9 a. m., 4,900 troops have arrived. Enemy making some demonstrations, but no attack as yet. Geneal Bearuregard just arrived. WHat nes from General Lee!

G. E. PICKETT.

[36.]