Anecdotes of distinguished men are always interesting, although their accuracy is not so reliable, of course, as that of statements substantiated by their own writings. I was told of one, several years since, which struck me as throwing light upon this subject of the personal relations between Washington and his immediate associates and friends. So thinking, and especially as General Hamilton was in one sense a party concerned, I have recently obtained reliable testimony of its authenticity. Judge Fine, the writer of the following note, is well known in New York, and not a little in other States; he has been a State Senator, a Representative in Congress, a State Judge, &c., &c., and is regarded as a gentleman of the utmost probity and of superior intelligence. Judge Burnet, with whom I have served in the United States Senate, was also well known as a gentleman in whose statements entire confidence might be placed, and was, withal, a Hamiltonian Federalist, and never, politically, any thing else; in whose eyes, I am very sure, any statement disparaging to the memory of either Washington or Hamilton would have appeared a grave offense against morality and truth. FROM JOHN FINE. OGDENSBURG, N. Y., _April 30, 1857_. Hon. M. VAN BUREN: DEAR SIR,--During the session of the Presbyterian General Assembly in Cincinnati--May, 1852--I dined twice at the hospitable mansion of Hon. Jacob Burnet, now deceased. He was born in Newark, New Jersey, in 1770, and was the son of Dr. William Burnet, who was in the medical service of his country through the Revolution. Judge Burnet was acquainted with our early distinguished statesmen, and his conversation was rich in the recollection of their manners and characters. He related an anecdote of Washington which he had from the lips of Alexander Hamilton. When the Convention to form a Constitution was sitting in Philadelphia in 1787, of which General Washington was President, he had stated evenings to receive the calls of his friends. At an interview between Hamilton, the Morrises, and others, the former remarked that Washington was reserved and aristocratic even to his intimate friends, and allowed no one to be familiar with him. Gouverneur Morris said that was a mere fancy, and he could be as familiar with Washington as with any of his other friends. Hamilton replied, "If you will, at the next reception evening, gently slap him on the shoulder and say, 'My dear General, how happy I am to see you look so well!' a supper and wine shall be provided for you and a dozen of your friends."