My last of Tuesday informed you, that the two men of war had appeared off Reedy Island. That day orders were sent for all the galleys to go down and attack them. The galleys accordingly, 13 in number left Fort Island, where they are stationed, about 9 miles below this city, yesterday morning. The two men of war were then got up as high as Christeen creek, and they were the Roebuck of 44 guns, and the Liverpool of 28. The boats got down about two o'clock, and began the attack. he guns were soon distinctly heard in town. The engagement lasted till five o'clock, when the Roebuck run ashore on the Jersey side. The Liverpool came too, near her. In the evening we had several expresses one after another from Wilmington and the banks of Christeen, with variety of accounts. After the Roebuck went on shore the fire ceased on both sides, it was then top high water. The following letter is the only account we have from on board the galleys, which may be depended on.

Thus stands the accounts we have received. No express this morning. About one o'clock this morning several guns were heard. We are impatiently waiting for further accounts. The province ship of 10 eighteen pounders, the ship Reprisal of 16 six pounders, and the Hornet sloop of 10 guns, are ordered down to the assistance of the galleys. While the men of war were engaged, the Wasp armed schooner came out of Christeen creek, and retook a brig which the pirates had taken.