June 12th. At one thirty A. M., steamer Laurel Hill came down from Natchez, with despatches. Occasional artillery firing, also navy and army mortars bombarding the batteries of Port Hudson—rebels reply with a large rifle; at eight A. M., heavy musketry and artillery firing in rear of Port Hudson. Steamer Bee, despatch boat, came down from Bayou Sara; at eleven twenty P. M., the mortar vessels of lower fleet engaged the rebel batteries, and making some good shots.
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