From the southwest.
Mobile, May 12.
--A special dispatch to the Advertiser, dated Corinth, May 12th, says that the enemy are advancing nearer upon our right, centre, and left, as if for a general advance upon our position.
The weather is dry and hot.
On the 9th, Col. Woodward, with the First Kentucky Cavalry and a detachment of Texas Rangers, attacked the Federals at Elk river, killed several, captured two captains, two lieutenants, and forty-three privates, and eight negroes.
The Confederate loss was five killed, including Capt. Harris, of the Rangers, and seven wounded. This is official.