HOLLY SPRINGS, MISS., January 2, 1863.

Brig. Gen. J. C. SULLIVAN,

Jackson, Tenn.:

You have done a fine job-retrieved all lost at Trenton and north of you. I sent a fine regiment of cavalry to you. They left here on the 31st. Clear out West Tennessee of all roving cavalry. If it is necessary, mount as much infantry as you think necessary. What do you estimate the loss on each side?

Dodge is now our after Forrest's band.

U. S. GRANT,

Major-General.

Return of Casualties in the Union forces engaged at Parker's Cross-Roads, Tenn., December 31, 1862.

[Compiled from nominal lists of casualties, returns, etc.]

Killed. Wounded.

Command. Officers Enlisted Officers Aggregate.

men.

11th .. 1 .. 1

Illinois

Cavalry

(detachmen

t)

18th .. .. .. 7

Illinois

Infantry,

Companies

A and E

122d 1 15 2 48

Illinois

Infantry

50th 1 3 .. 39

Indiana

Infantry

39th Iowa .. 3 4 29

Infantry

27th Ohio .. .. .. 2

Infantry

39th Ohio .. .. .. ..

Infantry*

63d Ohio .. .. .. ..

Infantry*

7th .. 3 1 7

Wisconsin

Battery

(detachmen

t)

Total 2 25 7 133

Captured or missing

Command. Officers. Enlisted Aggregate.

men.

11th 1 8 11

Illinois

Cavalry

(detachmen

t)

18th .. 5 12

Illinois

Infantry,

Companies

A and E

122d .. 15 81

Illinois

Infantry

50th 2 16 61

Indiana

Infantry

39th Iowa .. 11 47

Infantry

27th Ohio .. .. 2

Infantry

39th Ohio .. .. ..

Infantry*

63d Ohio .. .. ..

Infantry*

7th .. 12 23

Wisconsin

Battery

(detachmen

t)

Total 3 67

237

Officers killed.-Lieutenant Pleasant L. Bristow, One hundred and twenty-second Illinois, and Lieutenant Daniel J. Dean, Fiftieth Indiana.

Number 4. Report of Colonel Robert G. Ingersoll, Eleventh Illinois Cavalry, of skirmish at Lexington.

JACKSON, TENN., December 27, 1862.

I have the honor to report that in accordance with orders received from you I proceeded toward the Tennessee River on the evening of the 16th instant with one section of Captain Kidd's Fourteenth Indiana Battery, under Lieutenant McGuire, and 200 of the Eleventh Illinois Cavalry, under Lieutenant-Colonel Meek.

We arrived at Lexington, 28 miles east of this place, on the morning of the 17th, where I was joined by Colonel Hawkins, of the Second West Tennessee, with 272 men. At noon we marched to Beech Creek, about 5 miles east of Lexington. Three days before, Captain O'Hara had been sent to Tennessee River with 68 men.

Halting at Beech Creek I sent Captain Burbridge forward with one

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*No loss reported.

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