Just as the Star goes to press to day, the General-in-Chief has received a dispatch from Gen. Buell, announcing that his advance, under Gen. Mitchell, reached the river opposite Bowling Green yesterday by a forced march.

The enemy fearing the passage of his force across the river by the remaining bridge there, burned that immediately, or sufficient of it to render it impassable.

General Mitchell at once set about constructing another, under the protection of his guns.