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Fighting North of James River.

Jeff. Davis Reported fled from Richmond.

Lee Military Dictator.

NEW YORK. Oct. 3 — The Herald has the following special account of the fighting north of the James river on Friday:

Three desperate efforts were made by the enemy to retake the works captured from them on Thursday. Gen. Lee in person commanded, but the rebels were each time driven back with considerable loss. The enemy were discovered about two o'clock P. M. massing in the woods directly opposite the fort captured yesterday, and in half an hour they charged, with a wild yell, in three heavy colums of attack. The r[unknown]ms at the same time opened upon our position, and our line was enfiladed by the fire from the rebel battery on the river. The men, however, stood steady and received the rebels with so hot, well directed, and incessant fire that they broke in confusion and retreated to the woods twice. Again they were halted by their officers and returned to the charge, but only with the same results, until finally, broken and dispirited, they fell back in irremidable confusion, leaving the ground covered with their dead and wounded. The prisoners report a thousand at least killed and wounded.

Over 300 prisoners were taken by us, including the officers of the greater part of the 8th North Carolina regiment. Among those captured are several field officers and Capt. Maguire, Inspector General of Clingman's staff. The regimental flags were taken all by Stanard's division. Two of them were captured by the 13th Connecticut and 18th Pennsylvania.

The fight has been pronounced one of the most desperate and brilliant of the war, and by his skillful management of his troops, Gen. Weitzee has added one more leaf to the laurels won in Louisiana.

The Herald's special Martinsburg correspondence of Oct. 1st, says the latest intelligence from Gen. Sheridan left him making preparations to force the remnant of Early's army from Brown's Gap, in the Blue Ridge. This was on the 29th of September, Early's position is represented to be a very strong one, and he doubtless intends to hold it as a protection to Gordonsville and Charlottsville, as well as Lynchburg, for while holding this point, if Sheridan advances upon Lynchburg, Early threatens his rear and supplies.

There can be little doubt however, of Sheridan's success, for Early's army has lost heart, and Brown's Gap will only prove to be another Fisher's Hill.

The World's Washington special of last evening says:

An unauthenticated report prevails here that our cavalry have retired to Gordonsville. It was known that at last accounts a cavalry force was very near that place.

NEW YORK, Oct. 3. — The following is the Tribune's special account of the operations below Petersburg yesterday. On the 29th, Gregg, supported by two brigades of Duffy's division, pushed a reconnoissance from our left toward the Lynchburg railroad as far as Poplar Spring Church, beyond Vaughn turnpike. No enemy in any force was discovered. To-day General Griffin's division of the 3d corps, advancing beyond the Church in a northwest direction, came on the enemy in a strong position about two miles from the We[unknown]on railroad. Their preparations for defense, though not completed, were very formidable.

Gen. Griffin decided to carry the works by storm, and formed his men in three lines of battle by brigades — the third brigade in advance under Col. F. Winn, of the 11th Pennsylvania. The assault was perfectly and brilliantly successful. The whole line was taken with two or three guns and about fifty prisoners. The other guns were dragged away. The rebels left their dead and wounded on the field. The prisoners belonged to Beauregard's command. Among them was one Major, one Captain and five Lieutenants. Our loss was not great — I think not one hundred and fifty. But one of our first officers, Col. Welch, of the 16th Michigan, was killed.

The following officers were captured: Maj. Partridge, 16th Michigan; Lieut. Wirtt, of the same, and Lieut. Baird, of the same.

NEW YORK, Sept. 30. — A special to the Commercial from Washington says: Secretary Stanton has ordered that when large sums of money are found on bounty jumping deserters [unknown] be retained by Government and returned [unknown]. Trains on the Railroad from Richmond to Fredericksburg have been running for several weeks, transporting old shoes, rags, &c. from the Wilderness battle grounds. Bodies of the slain have been exhumed to strip them of the rags covering them.

FORT MONROE October. 2. — The mail boat Webster, from City Point, has arrived here. The rumor that Petersburg has been evacuated is incorrect. Heavy firing has been heard all this morning from the north side of the James, that nothing definite has been received as to the results.

Rebel refugees of all classes are pouring into Berthuda Hundreds [unknown] conceivable [unknown]. Some [unknown]