New i'ork, August 3. Nassau advices state that the gunboat Adirondack ehased tho ljriüsh stoamer Herald, Captain Coxsetter, nto that port. ijlie had run tho blockadu of Charleston. Tlie Herald was damaged by shells. - The Ntsau Guardian speaks of the matter as a glaiing ou trago, and tst.ites that the British fl;ig was shot down, but was rcplaced during tho chase. Nassau was greatly excited during the aetion. The Advertiscr gives a report that Captáis Gansevert, of tho Adirondack, apologized to the Captaiu of tho Britisb. ship tíroyhound. Tlie sloop Elizabeth, from ünvann, bound to Sabino Pass with an assorted cargo, was eaptured by thegunboat Hatteras. Tho English schooner Orion bound from Kingston, Jamaica, to Sabine Pas?, with salt, drusjs, &c, was eaptured by the gunboat Quaker City. She run the blookade in April last with 300 bales of cotton.