From the Southwest.
Chattanooga, April 4.
--Nothing additional from the front this evening.
Skirmishes with the enemy's pickets are of daily occurrence, but a general engagement is not considered imminent.
A freight train ran off near Cumberland Mountain on the Nashville and Chattanooga Railroad to-day.
No lives lost.
Bob Johnson, son of Andrew Johnson, is reported captured by our cavalry at Triune.
Jackson, April 4-- Reports from Port Hudson state that Banks has fallen back.
One division of his army is at Baton Rouge, the rest down the river.
The Appeal has received Chicago dater of the 27th.
The papers state that great consternation prevails in Kentucky on account of the advance of the Confederates on Lexington.
Troops are reaching Cincinnati freshly.
Burnside is in command, but is too sick to take the field.
Senatobia, April 4--Richardson's guerrillas fought a regiment of the enemy at Summerville, killing and wounding eighty.
It is stated that 5,000 troops recently left Memphis, estersibly for Vicksburg, but after night went North.
Vicksburg, April 4--Everything quiet to-day.
But few boats in sight.
Nothing new from Yance.
A flag of truce was sent down to-day by the enemy.
The object of the mission has not been made public. 