ATLEE'S, May 10, 1864.

General B. BRAGG:

I have recommended that the dismounted men of the Cavalry Corps be organized and sent to Hanover Junction, to report to Colonel Bradley T. Johnson. I think by this arrangement that he could be re-enforced nearly 1,000 men, they doing us no good. If you can send me an engine and a few cars to Atlee's Station I can send him this evening 250 dismounted men, who are drilled and organized into companies. Courier reports my pickets at Cold Harbor driven in; think probably that it is only a scouting party of the enemy.

FITZ. LEE,

Major-General.

[Indorsement.]

Respectfully referred to the Adjutant and Inspector General.

The suggestion is a very good one. The men are not needed here, and would secure General Lee's communications, and be ready to join when their horses come up.

BRAXTON BRAGG,

General.

DREWRY'S BLUFF, May 10, 1864-5.15 a.m.

Major T. O. CHESTNEY,

Assistant Adjutant-General, Richmond:

I move to press the enemy. Inform General Bragg. Hunton is at Chaffin's.

R. RANSOM, JR.,

Major-General.

HEADQUARTERS,
Below Drewry's Bluff, May 10, 1864-6 a.m.

General BRAGG:

Shall I pass so far as to uncover entirely Drewry's Bluff? Answer at once.

R. RANSOM, JR.,

Major-General.

NEAR DREWRY'S BLUFF, May 10, 1864-4 p.m.

General BRAXTON BRAGG:

Thus far the enemy have not passed beyond the point of our attack this morning.

R. RANSOM, JR.,

Major-General.

HEADQUARTERS,
Drewry's Bluff, May 10, 1864-7 p.m.

General BRAXTON BRAGG,

Richmond, Va.:

We have definitely ascertained that our loss amounts to only about 25 killed and 175 wounded; 1 officer killed and 1 wounded. The enemy show no disposition to push their pickets farther front than the battle-field.

R. RANSOM, JR.,

Major-General, Commanding.