SIR,--The house of Le Coulteux, which for some centuries has been the wealthiest of this place, has it in contemplation to establish a great company for the fur trade. They propose that partners interested one half in the establishment, should be American citizens, born and residing in the United States. Yet if I understood them rightly, they expect that that half of the company which resides here, should make the greatest part, or perhaps the whole of the advances, while those on our side of the water should superintend the details. They had, at first, thought of Baltimore as the centre of their American transactions. I have pointed out to them the advantages of Alexandria for this purpose. They have concluded to take information as to Baltimore, Philadelphia, and New York, for a principal deposit, and having no correspondent at Alexandria, have asked me to procure a state of the advantages of that place, as also to get a recommendation of the best merchant there, to be adopted as partner and head of the business there. Skill, punctuality and integrity are the requisites in such a character. They will decide on their whole information, as to the place for their principal factory. Being unwilling that Alexandria should lose its pretensions, I have undertaken to procure them information as to that place. If they undertake this trade at all, it will be on so great a scale as to decide the current of the Indian trade to the place they adopt. I have no acquaintance at Alexandria or in its neighborhood; but, believing you would feel an interest in the matter, from the same motives which I do, I venture to ask the favor of you to recommend to me a proper merchant for their purpose, and to engage some well-informed person to send me a representation of the advantages of Alexandria, as the principal deposit of the fur trade.