The inequality of the convention with Great Britain in 1818 is most glaring and apparent, and its continuance is a great and manifest injury to the United States. The privileges granted by it have enabled the British to take possession of the Columbia River, and spread over the country south of it; while no Americans have ever gone, or can venture to go on the British side. The interest of the United States and her citizens engaged in the fur trade requires that the convention of 1818 should be terminated, and each nation confined to its own territories. By this commercial interest there are other considerations requiring the same result. These are, the influence which the British have already acquired over the Indians in that quarter, and the prospect of a British colony, and a military and naval station on the Columbia. Their influence over the Indians is now decisive. Of this the Americans have constant and striking proofs, in the preference which they give to the British in every particular. In saying this, it is an act of justice to say, also, that the treatment received by Mr. Smith at Fort Vancouver was kind and hospitable; that, personally, he owes thanks to Governor Simpson and the gentlemen of the Hudson's Bay Company, for the hospitable entertainment which he received from them, and for the efficient and successful aid which they gave him in recovering from the Umquah Indians a quantity of fur and many horses, of which these Indians had robbed him in 1828. As to the injury which must happen to the United States from the British getting the control of all the Indians beyond the mountains, building and repairing ships in the tide water region of the Columbia, and having a station there for their privateers and vessels of war, is too obvious to need a recapitulation. The object of this communication being to state _facts_ to the Government, and to show the facility of crossing the continent to the Great Falls of the Columbia with wagons, the ease of supporting any number of men by driving cattle to supply them where there was no buffalo, and also to show the true nature of the British establishments on the Columbia, and the unequal operation of the convention of 1818. These _facts_ being communicated to the Government, they consider that they have complied with their duty, and rendered an acceptable service to the administration; and respectfully request you, sir, to lay it before President Jackson. We have the honor to be sir, yours, respectfully, JEDEDIAH S. SMITH, DAVID E. JACKSON, W. L. SUBLETTE. To the Hon. John H. Eaton, _Secretary of War_. Excerpts from St. Louis papers, 1832-1848, on the migration to and settlement of Oregon. The _Missouri Republican_, July 5, 1831.