Correspondence of the New York Gazette.

Washington, Jan. 20, 18S8.

The Senate did not sit to day. I found the House engaged in a discussion, during the morning hour of a resolution recommending lo the President to enter into a negotiation with Denmark for the adjustment of the claims on officers and crew of Commodore John Paul Junes squadron, on account of two British prizes sent into the port of Bergen, by Com. Jones, and by the Government of Denmark, released upon application of the British minister. For the benefit of my One who may be interested in this claim. I will mention that Com Jones took two valuable English merchantmen when he was on a cruise, in the year 1779. and sent them into the port of Bergen. The Danish Government gave them up to its ally. Great Britain, on The ground that the capture was piratical as the Americans were rebels against their Government. At this time, the independence of Ihe U. S. had not been recognized by any power but that of France. But I)r Franklin, who was our minister at Paris, communicated the fact to the Continental Congress, and was instructed to demand indemnity lor the outrage. In those early days, you see, we had as much indignation ready, as we have nowÑmore, by a great deal, than we could turn out upon the occasion of the avowal of the Schlosser outrage. Dr. Franklin opened a negotiation with the Minister of Denmark at Paris, and it ended in an oli'er, on the part of Denmark, of an indemnity to the extent of ten thousand pounds. But the Doctor refused this, he having ascertained that Ihe ships had been insured in London at sixty thousand pounds. Congress passed another hot and flowing resolution on the subject, and sent John Paul Jones himself, as a special agent to Denmark, to "demand redress." This was just at the close of the war of our revolution, and such a step, at surli a time, shows that there existed a deep notional feeling, in relation lo the matter, which overbalanced any considerations of interest which might be connected with it.

Commodore Jones went to Denmark, and aftsr s. long negotiation, in which the Danish Government conceded Ihe principal of the liability* the final settlement of the question was, by mutual consent, transferred to the American ami Danish Ministers residing at Paris. But the American minister, Mr. Jefferson, had left Paris without doing any thing in the matter; anil, before his place- was filled by his successor, the French revolution ami its attendant wars broke off all diplomacy, except that which was carried on at the point of the bayonet. Thus was this pet claim of the Revolution dropped,and in the treaty ofours which followed, it was lost sight of. At length, when Gen. Jackson undertook to bring up all these old scores and to compromise them, he made a treaty of indemnity with Denmark. Some few of the old heroes, who participated with Jones in his hazards and perils and victories, yet lingered in the land, and they sent in their claims, supposing it to be secured under the treaty. The Commissioners replied to them that the treaty did not go so far bud;; that it was limited to certain claims growing out of spoliations during the wars of the French revolution.

(Excerpt from the Army and Navy Chronicle of a simpler time)