SAINT LOUIS, June 4, 1862.

Colonel J. C. KELTON, Asst. Adjt. General, Corinth, Miss.:

General Curtis telegraphs from Batesville on the 31st, May and 2nd instant that a rebel gunboat and the rebel forces at Little Rock were moving toward his lines; that he stands firm, but will be lost if the rebel force is as strong as reported; that he will have to move his advance from Little Rock across the White River and concentrate his forces to hold his lines of communication, which have been cut off for ten days; that he wishes to know more of the evacuation of Corinth; that infantry should be immediately sent to re-enforce him; that two gunboats and a battery and many regiments have been diverted from falling back evinces a design to hold Arkansas and Houston up, and,that Hindman was to leave Corinth on 28th ultimo with all the rebel troops from Missouri and Arkansas, and that the report respecting the blockade of the river is not confirmed.

W. SCOTT KETCHUM,

Brigadier-General, Acting Inspector-General

SAINT LOUIS, June 4, 1862.

Colonel J. C. KELTON, Asst. Adjt. General, Corinth, Miss.:

General Strong has saint seven companies, 600 men, well armed and equipped and well supplied with ammunition and means of transportation. General Quinby may co-operate if he can be convinced of the necessity of doing so. Cape Girardeau is probably the point to send re-enforcements, owing to recent high water.

W. SCOTT KETCHUM,

Brigadier-General, Acting Inspector- General.

SAINT LOUIS, June 4, 1862.

General QUINBY, Columbus, Ky.;

Colonel Daniels is operating in Dunklin County, and holds all crossings of Saint Francis River from Poplar Bluff to State line at Hornersville, where he has captured steamer D. E. Miller. He states that he is not scared, but wants a little help, and that he received his information from reliable scours. The counties of Pemiscot and New Madrid have been placed in your district by General Orders, Numbers 30, Department of the Mississippi,, 1862.

One brass howitzer left Cape Girardeau for Colonel Daniels when I was there; if I mistake not there is another at the Cape. General Strong has sent seven companies of infantry, well armed, equipped, and supplied, to re-enforce Colonel Daniels. A rebel gunboat went up White River on 2nd instant, and on its way down destroyed all cotton and sugar at or near Jacksonport.

Rebels are concentrating at Little Rock, Fort Smith, Fayetteville, Van Buren, and Yellville.

W. SCOTT KETCHUM,

Brigadier-General, Acting Inspector-General