Tuesday, 5th—The Fourth Iowa Cavalry passed here this morning. It is a fine regiment of horse. Four hundred and forty-four rebel prisoners captured at Grand Gulf were taken by here this morning to be sent to our prisons in the North; they are a hard-looking set of men. News came today that our men have taken Grand Gulf with two thousand prisoners. If this is true it gives us a road to Vicksburg over high ground, which means the fall of Vicksburg.