To several gentlemen in Buffalo belongs the credit of having first brought out Miss Greenfield in the concert-room. The Buffalo papers took the matter in hand, and assured the public they had much to expect from a concert from this vocalist. The deep interest her first public efforts elicited from them, gave occasion to the following certificate:-- Buffalo, Oct. 30th, 1851. MR. H. E. HOWARD:-- DEAR SIR:--At your suggestion, for the purpose of enabling Miss Elizabeth T. Greenfield to show to her Philadelphia friends the popularity she has acquired in this city, I cheerfully certify as follows:-- The concert got up for her was unsolicited on her part, and entirely the result of admiration of her vocal powers, by a number of our most respectable citizens, who had heard her at the residence of Gen. Potter, with whose family she had become somewhat familiar. The concert was attended by an audience not second in point of numbers, to any given here before, except by Jenny Lind; and not second to any in point of respectability and fashion. The performance of Miss Greenfield was received with great applause, and the expression since, among our citizens generally, is a strong desire to hear her again. Respectfully yours, &c., G. REED WILSON. Rochester next extended an invitation for her to visit that city. We copy the invitation:-- "The undersigned having heard of the musical ability of Miss Elizabeth T. Greenfield, of the city of Buffalo, and being desirous of having her sing in Rochester, request that she will give a public concert in this city at an early day, and feel confident that it will afford a satisfactory entertainment to our citizens. Signed, "Edwin Scrantom, Levi A. Ward, H. A. Brewster, W. H. Perkins, D. M. Dewey, Geo. Hart, H. S. Allis, Freeman Clark, Isaac Butts, D. T. Walbridge, E. Peshine Smith, L. Kelly, M. F. Reynolds, Alex. Grant, W. A. Reynolds, L. B. Swan, Elias Paul, O. L. Sheldon, Alex. Mann, George Dutton, jr., D. Perrin, James S. Bush, H. P. Stevens, John E. Morey, F. S. Ren, C. P. Dewing, L. R. Jerome, L. P. Beey, James F. Bush." Rochester, Dec. 6th, 1851. This evening, in Corinthian Hall, the anticipated entertainment is to be presented to our music-loving citizens. Curiosity will lead many to attend, to whom the performance of a coloured _prima donna_ is a phenomenon at once wonderful and rare. Miss Greenfield has received from all who have heard her, the name of being a vocalist of extraordinary power.