SIR,--In answer to your letter, which I received last evening by Mr. Ingersoll, relating to queries published in Mr. Oswald's paper of last Saturday, signed Brutus, I can assure you, (as I did Mr. Ingersoll,) that I am not the author of that publication; nor have I published one single word, since I came from Maryland, relating to the politics of this state; yet my character has, unprovoked, been traduced by you, or some of your friends. But, sir, I have repeatedly mentioned the substance of those queries to individuals immediately after the conversation alluded to happened; and since that time in many mixed companies. As charges of the same nature had some time since been made against you, to which you never made a reply, the world very justly concluded they were true; especially as the rank and character of the person who made the charge (at that time) merited your notice. From this circumstance, it occasioned an additional surprise, that you should, in this instance, undertake to investigate the matter, and declare in your letter to me, that the "insinuation" was "a gross falsehood." I therefore now assert, that in a conversation with you at the time and place mentioned in the above publication, signed Brutus, that you expressed the substance, and I think the very words, contained in the queries. If my character for veracity wanted credit with the world, one or two other gentlemen could be named, who, at nearly the same time, heard expressions from you, which created in them sentiments unfavourable to your character. You seem to insinuate that there is an inconsistency in my conduct, because I afterwards reposed a confidence in you, and because I permitted General Washington to do the same. It would have been very dangerous, at that critical period, to have exposed your weakness and timidity to the militia, as such an example might have been attended with the most fatal consequences to our cause. And as your conduct, upon this occasion, appeared to me to proceed from want of fortitude, and not the baser motives,--and as from the observations I made to you at the time, you seemed to resume more spirited sentiments in conversation, as well as from political motives, I continued to show an appearance of confidence, and concluded it best not to mention it to the General. The successes that soon followed gave a happy turn to our affairs, and thus, you, (with many others,) appeared to possess firmness in prosperity who had shown a want of it in times of imminent danger.