_Rochester, Corinthian Hall_. This astonishing songstress has made her appearance in Rochester, and will sing this evening in Corinthian Hall, the most commodious building in western New York. She ought to have as large a house, and as brilliant, as any that thronged to hear the Swedish Nightingale. We heard the "Black Swan" more than two years ago, in Philadelphia and New York, in rooms little adapted to give effect to her performances; but we were, even then, struck with the astonishing compass, power, and clearness of her voice. We understand that since that time, she has applied herself with praiseworthy perseverance and assiduity to the cultivation of her extraordinary powers, and has attained great proficiency in the art, which is evidently the bent of her genius. By her own energy, and unassisted, she has made herself mistress of the harp, guitar, and piano. We are informed that the proceeds of the entertainment this evening, are to be wholly appropriated to the completion of her musical education in Paris, under the world-famed Garcia. We predict for Miss Greenfield a successful and brilliant future. The _Rochester American_ writes:-- Corinthian Hall contained a large and fashionable audience on the occasion of the concert by this new candidate for popular favour, on Thursday evening. We have never seen an audience more curiously expectant than this was, for the _début_ of this new vocalist. Hardly had her first note fallen upon their ears, however, before their wonder and astonishment were manifest in an interchange of glances and words of approval, and the hearty applause that responded to the first verse she sung, was good evidence of the satisfaction she afforded. The aria "Oh Native Scenes," was loudly encored, and in response she gave the pretty ballad "When Stars are in the Quiet Sky." The "Salut a la France" was one of her most difficult pieces, but was loudly encored, and in response, she astonished the audience, and called down thunders of applause with the bass of "Old Hundred," and the barytone of "When Stars, &c." The gem of the evening, however, was, "Like the Gloom of Night Retiring." It was a bold attempt for the Black Swan to sing "Do Not Mingle," after Jenny Lind and Parodi; but she succeeded in rendering its difficult passages with considerable taste, and a good degree of justice. It is in pieces of this kind that her untaught powers come into direct competition with the masterly training and careful cultivation of the _artistes_ above named, and the difference is perceptible. But the voice is there, and with that she is destined, if skilfully taught, to achieve a fame that will be world-wide. Lockport.