About 8 o'clock in the morning of Wednesday, the Brig [_Dispatch_] hauled within half a mile of our breast-work, and opened a well directed and animated fire. Our few guns being now well manned by citizens and volunteers, from Stonington, New London, Mistick and Groton, they were ready to receive her. Her fire was returned with a spirit and courage rarely to be equalled,--and of those gallant souls who stood this conflict, we can only say, they gloriously did their duty. Heroes having so nobly acted, with ours, will receive the plaudit of their country. What effect such bravery had on the enemy, will appear from the fact, that the brig was compelled to cut her cable and retire out of reach of our shot. Her anchor has since been taken up, with a number of fathoms of cable. No attack was afterwards made by the brig. This contest with the brig (called the _Dispatch_), continued on our part from the breast-work until the ammunition was expended. To this circumstance, unfortunately for the village and mortifying to those so gallantly engaged in the defence, may be attributed the principal injury sustained by the buildings. For two hours or more, she kept up a constant fire without having it in our power to return a shot: during which time, we are confident, had there been a supply of ammunition, she would have been taught the use and meaning of her name. The further particulars which transpired on Wednesday and Thursday, having been noticed by you, in the publication above referred to, very correctly, the public must be satisfied without any comments from us. In the publication of the transactions of Friday, we have discovered one error. Amidst the combined fire of the Ramilies, frigate and bomb-ship, Lieut. Lathrop and volunteers from the Norwich Artillery, in fact did proceed, to undertake in assisting to get off the cannon from the breast-work, but they met other brave lads who had accomplished this hazardous duty. The praise therefore of this performance, however they may have distinguished themselves in other duties, is not correctly bestowed. In passing the proceedings of Thursday and Friday, we would not overlook the singular communication received from Commodore Hardy, which preceded the fire on Thursday. Two subjects esteemed very important by Sir Thomas seem connected, Torpedoes and Mrs. Stewart,--a lady we presume worthy of the notice even of Commodore Hardy. But a demand made on those with whom, it was well known, no power existed to comply, is not a little extraordinary: besides, this communication is totally different from and unconnected with the one it was sent as an answer to. It would appear from reading the documents, that assurances were given that no torpedoes ever did, or ever should, go from this place. This was not the fact; no promises or confessions of any kind were ever made. To this singular letter no general reply was given; that part, only, [was] noticed, relative to Mrs. Stewart.