HEADQUARTERS, Grand Gulf, April 21, 1863.

Major-General STEVENSON, Vicksburg:

Harrison still at Hard Times. He proposes to dispute every inch southward to Alexandria, La.

JNO. S. BOWEN.

JACKSON, April 21, 1863.

Colonel [W. H.] DISMUKES, Commanding Big Black Bridge:

COLONEL: The lieutenant-general commanding directs that you observe great vigilance in guarding the bridge, and be ever on the alert to apprehend and foil any attempt at its destruction. Your officer of the day will keep a strict surveillance over it day and night.

Very respectfully, your obedient servant,
J. C. TAYLOR,

Aide-de-Camp.

Vicksburg, April 21, 1863.

Lieutenant-General PEMBERTON, Jackson:

The gunboats have been engaging Snyder's since 9 o'clock. Have sent re-enforcements to that point.

C. L. STEVENSON.

Vicksburg, April 21, 1863.

Lieutenant-General PEMBERTON:

We have 127,000 cartridges without caps, including those sent by Major Mayo. We need at once 227,000.

C. L. STEVENSON.

JACKSON, April 21, 1863.

Major-General STEVENSON, Vicksburg:

Ammunition for 10-inch Brooke gun, some powder, and 150,000 caps leave here for Vicksburg to-morrow morning. There is great waste of caps. Two companies of Waul's cavalry have been ordered to you; it is all I can send.

J. C. PEMBERTON.

Vicksburg, April 21, 1863.

Lieutenant-General PEMBERTON:

If you have not done so, let me ask that your order back all troops that have been sent from department These is no doubt that their whole energy will be concentrated to take the Mississippi.

C. L. STEVENSON.

Vicksburg, April 21, 1863.

Lieutenant-General PEMBERTON:

If they can be spared, I wish you would send a brigade and a battery of artillery to the Big Black Bridge.

C. L. STEVENSON.