The question as to the comparative speed of the British and American Ocean Steamers has been settled for the present. The Pacific, of Collins's line, has made the four shortest passages, three of them consecutive, that have been made across the Atlantic. They were all performed within ten days, which has not been accomplished by any British steamer. The American Ocean Steamers now afloat number 74, with an aggregate tonnage of nearly 90,000. Of these, 9 ships, averaging about 2400 tons, cross the Atlantic; 25 vessels, averaging 1250 tons, ply between ports on the Atlantic and on the Gulf of Mexico; and 40 steamers, averaging 650 tons, are employed on the Pacific. During the month of May 38,858 immigrants arrived at the port of New York. The arrivals in five months of the present year were 100,571, exceeding by 21,169 those of the corresponding period last year. The English and Irish papers announce the expected departure of increasing numbers of emigrants, of the most desirable class; to make amends for which, the local authorities are emptying the poor-houses upon our shores; it being found cheaper to export than to feed their paupers. This will be done, unless prevented, more extensively this year than ever before. The Legislature of New York convened in Special Session on the 10th of June. In the House Hon. J.B. VARNUM of New York City was chosen Speaker, in place of Mr. RAYMOND, who is in Europe, and the organization was continued in other respects as before the adjournment. The twelve Senators who resigned in order to prevent the passage of the bill for the Enlargement of the Canals, were, with a single exception, nominated for re-election. The result of the special election was, that of the twelve vacancies, five were filled with advocates, and seven with opponents of the proposed measure; and in one district there was no choice. The Senate therefore stands at present twenty-two in favor, and nine opposed to the bill. The Message of Governor HUNT narrates the events which gave occasion to the Extra Session, and argues in favor of the constitutionality and expediency of the proposed measure for the enlargement of the canals.---- An Address has been issued by 56 of the 112 members of the Convention which framed the Constitution of the State, whose names are appended to that document, in which, after examining the provisions of the Constitution, and of the proposed Enlargement Bill, they express it as their opinion that the bill violates the entire spirit and scope of the financial article of the Constitution, and is inconsistent with several of its express provisions.