WILLIAM C. BRYANT, WILLIAM H. ASPINWALL, HAMILTON FISH, JOHN W. HAMERSLEY, JONATHAN STURGES, JAMES W. BEEKMAN, J. J. ASTOR, JR., SMITH CLIFT, W. E. DODGE, JR., DAVID HOADLEY, FREDERICK DE PEYSTER, W. BUTLER DUNCAN, WILLIAM CURTIS NOYES, HENRY CLEWS, FREDERICK C. GEBHARD, JAMES T. BRADY, GEORGE T. STRONG, HENRY DELAFIELD, HENRY E. PIERREPONT, GEORGE OPDYKE, DAVID DUDLEY FIELD, GEORGE BANCROFT, C. A. BRISTED, ALEXANDER VAN RENSSELAER, GEORGE FOLSOM, WASHINGTON HUNT, CHARLES KING, WILLARD PARKER, ADRIAN ISELIN, ROBERT J. LIVINGSTON, SAMUEL B. RUGGLES. Hon. James W. Beekman presided. The stewards were John Jacob Astor, John W. Hamersley and Henry Clews. When full justice had been done to the large variety of sumptuous dishes, the chairman called the company to order, and explained that the object of the meeting was to do honor to the great cause of religions and political freedom contended for by the Republic of Mexico. The chair gave the first regular toast, “The President of the United States,” and called upon David Dudley Field to respond, who did so in his usual eloquent style, stating that the sentiment of the whole country was united in sympathy with the cause of the Mexicans, and that the Executive Department of the Government was simply the agent and exponent of the popular will. He dwelt at some length on the French invasion of Mexico as one of the greatest crimes of the age, and predicted the brief reign of Maximilian. Mr. Field wound up his discourse with the following grand peroration: Maximilian may come with the Austrian eagle and the French tricolor; he may come with a hundred ships; he may march on the high road from Vera Cruz to the capital, under the escort of French squadrons; he may be proclaimed by French trumpets in all the squares of the chief cities; but he will return, at some earlier or later day, a fugitive from the New World back to the Old, from which he came; his followers will be scattered and chased from the land; the titles and dignities which he is about to lavish on parasites and apostates will be marks of derision; the flag of the republic will wave from all the peaks of the Cordilleras, and be answered from every mountain-top, east and west, to either ocean; and the renewed country, purified by blood and fire, will resume its institutions, and be free. The second toast was, “Don Benito Juarez, Constitutional President of the Mexican Republic,” to which Mr. Charles King, President of Columbia College, responded. He spoke of Mexico as the friend and ally of the Union as opposed to European hostility. His Excellency, Senor Matias Romero, the honored guest of the evening, then made a brilliant speech on the situation, from which I take the following extracts: