The sentence of the Court Martial on Corporal Geo. H. Burger, Company E. First Regiment S. C. Artillery, who was found guilty of an intention to desert and attempting to persuade others to desert with him, was carried into effect on Sullivan’s Island Thursday, precisely at 12 M. He was shot at that hour on the open space, about two hundred yards to the East of the Moultrie House, just beyond the Beauregard battery, in full view of the blockading fleet.

The execution took place in presence of the unfortunate man’s own Regiment, also Col. Keitt’s Regiment a portion of Col. Dunovant’s Regiment and the Provost Marshall’s Guard, composed of a detachment from the Forty sixth Georgia and the Charleston Batalion.

A Yankee correspondent says:

Mrs. Farrenhold has deserted her house, and the soldiers have taken complete possession.—Her secession proclivities have made her what she is—a ruined woman. Her slaves say they will not be hired out. She has no land to cultivate, Her husband is in the rebel ranks and she a wanderer. Many say she is a spy, left here purposely by the enemy to gather information.—She is somewhat of the “strong-minded” sort.

The steamer Atlantic left New York a few days since with a large cargo of army stores, and about sixty passengers, who accompanied Mr. E. L. Pearce, the government agent in charge of the plantations and contrabands at Port Royal. Three-fourths of the number are to be superintendents of the abandoned estates, and will direct the labors of the negroes who are to be employed in such agricultural pursuits as cotton culture and raising vegetables for their own support, and for the use of the army at that point.

Capt. Kennedy requests all his recruits to report themselves to him at 10 o’clock Monday morning, 31st instant, at McKains Drugstore, prepared to leave for Virginia by the mid-day train.

The comparatively moderate amount of confiscated South Carolina cotton arriving at this port is really no indication of the extent of the work of picking or of the quantity yet to he gathered. It is true that much of the cotton which was grown very near the large rivers and water-courses in the vicinity of Port Royal, and not burned by the rebels, has been brought forward ; but a very small proportion of the whole amount on the islands has yet been brought to Hilton Head for shipment to this port.

The work of gathering goes steadily on; large quantities have been collected on the inland plantations, and ginning is carried on to a considerable extent. The number of contrabands engaged in the work is increasing, and the chief difficulty at present is a want of transportation facilities.