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April 30th. We have information, through Col. Ackelon, I believe, that a battle has been fought to-day at Grand Gulf, between our naval forces under Rear-Admiral Porter, and the rebels, in which we lost one of our gunboats, but were successful in driving the enemy out of some of their batteries and silencing some of their guns. We have hopes that by the landing of some of Gen. Grant’s men a short distance above and in the rear of Grand Gulf, and storming same, that it has been taken possession of ere this. The prospects of the Mississippi river soon being clear of obstructions are brightening every day.