On the whole, the concert was a good one, and exceeded our expectations. By care and cultivation the Black Swan will become a vocalist of no mean pretensions, and even now she excels many, who modestly herald themselves as musical "stars." Jan. 23. From the same. We predict for this celebrated singer a brilliant audience to-night at Harmony Hall, for it is to be undoubtedly the great Concert of the season. We understand Lt. Gov. Church and Lady, together with large numbers of both branches of the legislature, also large numbers from Lansingburg and Waterford, are to be there to-night, and in order to secure choice seats, it is necessary to go early, as this will be the last opportunity of hearing a lady that can sing a higher and a lower note than any other public singer that has ever visited us. Col. Wood, her gentlemanly manager, informs us, that she goes hence to Boston and New York, and will visit Europe in June. Jan. 24th. The concert was attended by the largest and most genteel audience we have ever seen gathered in this city on a similar occasion. She sang almost every piece with exquisite taste and extraordinary artistic skill. The concert with a new bill will be repeated this evening at Franklin Hall, at 7-1/2 o'clock. * * * * * ==> Go away, Northampton! who cares for Jenny Lind? The "Black Swan" is in town, stopping at the Hampden House, and is going to favour us with specimens of her extraordinary vocalization. * * * * * MISS GREENFIELD'S SINGING.--"We yesterday had the pleasure of hearing the singer who is advertised in our columns as the "Black Swan." She is a person of lady-like manners, elegant form, and not unpleasing, though decidedly African features. Of her marvellous powers, she owes none to any tincture of European blood. Her voice is truly wonderful, both in its compass and truth. A more correct intonation, so far as our ear can decide, there could not be. She strikes every note on the exact centre, with unhesitating decision, and unerring truth. There is obviously wide room for cultivation, but her singing, apart from the marvel of its ranging from a low bass to the highest treble, is exceedingly pleasing, and we think will take the public, both musical and unmusical, by surprise. We should not, to be sure, think of comparing her with Jenny Lind, nor with any one else. She is a non-descript--an original. We cannot think any common destiny awaits her." Springfield Daily Post, Jan. 29, 1852. The following testimonial of the success of the "Swan" in Troy, appears in the Budget of Saturday evening.