NASHVILLE, May 30, 1864.

Brigadier General J. E. SMITH:

The detachment of 150 Indiana cavalry left here on train this morning. They are to relieve your troops between Decatur Junction and Huntsville on the railroad. Please have your command at the different points ready at the train to embark as the relieving force arrive. Four hundred and fifty men of Thirteenth Indiana Cavalry leave on train this morning for Huntsville. They are to constitute part of the Huntsville garrison. There are not any quartermasters of commissaries here to send to Huntsville. As soon as I can get officers I will send them to relieve the post commissary of subsistence and post assistant quartermaster. The militia that were to relieve Granger's brigade on the Nashville and Chattanooga Railroad, which in its turn is to relieve you on the river and at Decatur, have been stopped at Louisville, and placed on the Louisville and Nashville Railroad. This will delay your being relieved. I will push forward what forces I can as rapidly as possible.

L. H. ROUSSEAU,

Major-General.

Weekly report of effective force of the Department of the Cumberland, Major General George H. Thomas, U. S. Army, commanding, for May 30, 1864.

Headquarters.

Command. Officers. Men. Total.

9th Michigan Infantry, --- --- ---

Lieutenant Colonel William

Wilkinson.

Post Chattanooga, Major 15 53 68

General J. B. Steedman.

14th U. S. Colored Troops, --- --- ---

Lieutenant Colonel

H. C. Corbin.

16th U. S. Colored Troops, --- ---- ---

Colonel William B. Gaw.

Total 15 53 68

Fourth Army Corps:

Headquarters Major-General 22 145 167

Howard.

First Division, Major-General 44 160 204

Stanley

Second Division, Brigadier- 22 83 105

general Newton.

Third Division, Brigadier- 33 60 93

General Wood.

Total 121 448 569

Fourteenth Army Corps:

Headquarters, Major General 20 100 120

J. M. Palmer.

First Division, Brigadier- 29 169 198

General King.

Second Division, Brigadier- 28 433 461

General Davis. a

Third Division, Brigadier- 35 194 229

General Barid.

Total 112 896 1,008

Infantry. Cavalry.

Command. Offic Men. Total Offi Men Tot

ers. cers al.

9th Michigan 17 429 446 -- -- --

Infantry, Lieutenant

Colonel William

Wilkinson.

Post 124 2,647 2,771 -- -- --

Chattanooga, Major

General

J. B. Steedman.

14th U. S. Colored 22 702 724 -- -- --

Troops, Lieutenant

Colonel H. C. Corbin.

16th U. S. Colored 26 638 664 -- -- --

Troops, Colonel

William B. Gaw.

Total 189 4,416 4,605 -- -- --

Fourth Army Corps:

Headquarters Major- --- --- --- -- -- --

General Howard.

First Division, Major- 345 5,845 6,190 -- -- --

General Stanley

Second Division, 379 4,851 5,230 -- -- --

Brigadier-general

Newton.

Third Division, 325 4,931 5,256 -- -- --

Brigadier-General

Wood.

Total 1,049 15,627 16,676 -- -- --

Fourteenth Army

Corps:

Headquarters, Major --- --- --- -- -- --

General J. M. Palmer.

First Division, 298 6,507 6,805 -- -- --

Brigadier-General

King.

Second 289 6,687 6,976 -- -- --

Division, Brigadier-

General Davis. a

Third 365 5,714 6,019 -- -- --

Division, Brigadier-

General Barid.

Total 892 18,908 19,800 -- -- --

a May 9, 1864.