To correct a misapprehension into which Mr. Fox appeared to have fallen, the distinctive difference between the American proposition for a commission and that proposition as subsequently modified by Great Britain was pointed out, and he was informed that although the proposal originated with this Government, the modification was so fundamentally important that it entirely changed the nature of the proposition, and that the supposition, therefore, that it was rather for the Government of the United States than for that of Great Britain to answer the inquiry preferred by the Secretary of State for information relative to the manner in which the report of the commission as proposed to be constituted and instructed by the British Government might tend to a practical result was unfounded. Mr. Fox was also given to understand that any decision made by a commission constituted in the manner proposed by the United States and instructed to seek for the highlands of the treaty of 1783 would be binding upon this Government and could be carried into effect without unnecessary delay; but if the substitute presented by Her Majesty's Government should be insisted on and its principles be adopted, it would then be necessary to resort to the State of Maine for her assent in all proceedings relative to the matter, since any arrangement under it can only be for a conventional line to which she must be a party. In conclusion, it was intimated to Mr. Fox that if a negotiation be entertained by this Government at all upon the unsatisfactory basis afforded by the British counter proposition or substitute, the President will not invite it unless the authorities of the State of Maine shall think it more likely to lead to an adjustment of the question of boundary than the General Government deemed it to be, although predisposed to see it in the most favorable light. Your excellency will perceive that in the course of these proceedings, but without abandoning the attempt to adjust the treaty line, steps necessary, from the want of power in the Federal Government, of an informal character, have been taken to test the dispositions of the respective Governments upon the subject of substituting a conventional for the treaty line. It will also be seen from the correspondence that the British Government, despairing of a satisfactory adjustment of the line of the treaty, avows its willingness to enter upon a direct negotiation for the settlement of a conventional line if the assent of the State of Maine to that course can be obtained.