Color for the Brooks Artillery.--A beautiful flag, which the "patriotic ladies of Charleston" have had worked for the Brooks Artillery by the accomplished embroiderer, Mrs. Schuckmann, is now to be seen at Schuckmann's store, in King street. It was begun some time ago, and could not be finished before, as the materials could not be got in the Confederacy, and had to be sent for to Paris. It is a peculiar and handsome banner. The ground is of a dark red, rather approaching the new-fashioned French color, magenta. On one side is worked, in beautifully shaded green silk, a wreath of bay and oak leaves, tied below with a blue ribbon. In the interior of the wreath is worked, in gold colored silk letters, the names of the battles, previous to that of Sharpsburg, in which this gallant company has been engaged. On the other side is the emblematic Palmetto tree, with the dauntless rattle snake coiled around the foot of the trunk; and a crescent in the upper flag staff corner. The crescent, like the tree, is worked in golden colored silk, which contrasts beautifully with the crimson ground. The cord and tassels are very handsome. The staff is made of wood from the flag staff at Fort Sumter, which was shot away by the battery of Fort Moultrie during the bombardment. This flag, in its general appearance, is, I am told, very much like one that waves over the tomb of the Great Napoleon, "Aux Invalides," in Paris.