Movements and Indications of the enemy.

A correspondent of the New Orleans Picayune writes from Tuscumbia, Ala., as follows:

‘ An idea of the enemy's movements and intentions may be formed by the following explanations, which may be understood by the reader if he will look on a map of Tennessee and North Alabama, (and, by the way, nothing is so much needed at this time as a good map of these two States,) which have become the present seat of war. The enemy's approaches may be said to consist of four columns. First, by gunboats by way of the Mississippi from Calro; second, by the Tennessee river; third, from Nashville, on the Cumberland; and fourth, from Columbus, Ky., and Paris, Tennessee, where a large body of Federals are held in reserve for reinforcements. The column on the Tennessee river has concentrated principally at Savannah, on the east side of the river, their numbers being estimated at from thirty to fifty thousand, and which it will be seen is nearly on a line with Memphis.

’ Forty five miles from Savannah, in a southwardly direction, is the mouth of Yellow creek, which is eighteen miles nearly due west from Corinth, Miss., the junction of the Memphis and Charleston and the Mobile and Ohio Railroads. It being all important to the enemy to obtain possession of this latter point and the two roads in his demonstrations on Memphis, he is now cutting a military road from the Tennessee, at Yellow creek, to Corinth. Buell's Nashville column has already pushed its advance as far as Columbia, Tenn., and will no doubt march so Yellow creek to support the Tennessee column, if necessary, in its effort to gain the Charleston road. It is also supposed that the enemy may attempt to gain our rear, by the way of Florence, Ala., on the Tennessee, to this point, Tuscumbia, which is only four miles distant, by a branch road, from the Charleston road. There is a splendid bridge over the Tennessee to Florence, which could be destroyed in case an effort was made. Buell's column of 60,000, or a portion of it, might also advance to Florence from Columbia, which is 68 miles; the distance from Tuscumbia to Nashville, via Columbia, by the old military road made by Jackson in the Creek war, being about 110 miles. The great battle must therefore be fought between Corinth and Jackson, Tenn., and between the Tennessee and Mississippi rivers. Our whole country is thoroughly aroused to the importance of this great battle, and every man has made up his mind that we are not to be whipped. All feel that we must conquer or die in this battle. Our forces will be equal to every emergency, and the Mississippi river will hold the slain of the foe. It is stated that the enemy may make an attempt to cross the Cumberland mountains and come in at Chattanooga, but I think attention has been directed to this point as well as Knoxville.

The Daily Dispatch (Richmond, VA) 03 Apr 1862