lCorre«pondenc« Cincinnati Commercial.JCamp Near the Bridge, Feb. 22, ’62.Eds. Com.:—To-day finds us (our brave little band under the command of Captain W. W. Smith, 64th Ohio Volunteers) on the south side of Green River, near the great bridge, which will be noted in history. One company, Capt. Castle, of the 65th 0. V$ aud Capt. Sted ham’s 57th Indiana, have charge of the bridge, under command of our Captain. Many scenes occur which make it interesting to the observer. One division passed ovtTj consnming twelve hours' time in passing, including infantry, artillery, cavalry and baggage wagons; the next day 10,000 soldiers passed; the next day 5,000 more. To-day another division is crossing Green River; I will not state at what point. Another large division is close at hand, from a certain locality. General Wood’s division is on the north side of the river, preparing for a march toseme place in tne advance. The boys are mad, and spoiling for a fight. I do not think they will get a chance very soon, if the rebels run as they did at Bowling Green, and various other places. The road is lined nearly all the way from here to Bowling Green with Federal troops. The 1st and 2d Indiana cavalry passed here to day for Dixie’s land. They all seemed happy and readv for a fight. They were a good looking set of men.That ‘ bleaed, good old man,” the paymaster, has made his appearance and commenced paying off the regiments. Peace be to his ashes if he ever dies.