June 20th. Slight firing early this morning in rear of Port Hudson; at five A. M. the steamer Bee arrived from above Bayou Sara, having on board the pilot of gunboat Lafayette, who has come down as bearer of despatches to Commodore Palmer. At four twenty P. M., heavy artillery firing going on in rear of Port Hudson, showing that our army is not asleep, but on the other hand, harassing the enemy by day, while our mortar schooners and sloops-of-war of lower fleet harass him by night. I think by this plan of operations by the army and navy, the rebels cut off from obtaining supplies, will soon have to surrender to our forces.
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