{Special to World.}

Washington, April 9. – The World’s correspondence at Warrenton brings the following today:

The advance forces are now resting on the Rappahannock, our pickets extending to that stream. The railroad is now in running order to Cedar Run, within two miles of Warrenton Junction and thirteen miles from the Rappahannock river. It will take several days to complete the bridge over Cedar Run, as the recent storm has swollen all the streams very much. – Neither Bull nor Cedar Run can be forded at present, and no troops can move except by rail.

The Cavalry Pickets extend some distance south-east of Brentsville, and skirmishers with the rebel scouts are of daily occurrence.

As the army proceeds south the country begins to present fewer of the ravages of the enemy, though in no vicinity has there yet been discovered sufficient supplies to support either the men or horses for more than one day.

The reports of the enemy’s position are indefinite and uncertain. Contrabands and refugees from Fauquair and Culpepper say that the rebel army have dwindled greatly in its proportions, and that it is retreating upon Richmond as fast as possible, leaving nothing but scouts and guerrillas in its rear to watch our movements. It would seem from this that the rebels are not reinforcing Magruder, and intend to make a stand this side of Richmond.

– Published in the Burlington Daily Hawk-Eye, Burlington, Iowa, Friday, April 11, 1862