June the 10th, 1793. Mr. Brown gives me the following specimen of the phrenzy which prevailed at New York on the opening of the new government. The first public ball which took place after the President's arrival there, Colonel Humphreys, Colonel W. S. Smith and Mrs. Knox were to arrange the ceremonials. These arrangements were as follows: a sofa at the head of the room, raised on several steps, whereon the President and Mrs. Washington were to be seated. The gentlemen were to dance in swords. Each one, when going to dance, was to lead his partner to the foot of the sofa, make a low obeisance to the President and his lady, then go and dance, and when done, bring his partner again to the foot of the sofa for new obeisances, and then to retire to their chairs. It was to be understood, too, that gentlemen should be dressed in bags. Mrs. Knox contrived to come with the President, and to follow him and Mrs. Washington to their destination, and she had the design of forcing an invitation from the President to a seat on the sofa. She mounted up the steps after them unbidden, but unfortunately the wicked sofa was so short, that when the President and Mrs. Washington were seated, there was not room for a third person; she was obliged, therefore, to descend in the face of the company, and to sit where she could. In other respects the ceremony was conducted rigorously according to the arrangements, and the President made to pass an evening which his good sense rendered a very miserable one to him. * * * * * June the 12th. Beckley tells me that Klingham has been with him to day, and relates to him the following fact: A certificate of the old Congress had been offered at the treasury and refused payment, and so indorsed in red ink as usual. This certificate came to the hands of Francis, (the quondam clerk of the treasury, who, on account of his being dipped in the infamous case of the Baron Glaubec, Hamilton had been obliged to dismiss, to save appearances, but with an assurance of all future service, and he accordingly got him established in New York.) Francis wrote to Hamilton that such a ticket was offered him, but he could not buy it unless he would inform him and give him his certificate that it was good. Hamilton wrote him a most friendly letter, and sent him the certificate. He bought the paper, and came on here and got it recognized, whereby he made twenty-five hundred dollars. Klingham saw both the letter and certificate. Irving, a clerk in the treasury, an Irishman, is the author of the pieces now coming out under the signature of Veritas, and attacking the President. I have long suspected this detestable game was playing by the fiscal party, to place the President on their side. * * * * *