Laden with all these good wishes and hopes, Miss G. bade farewell to her Buffalo friends and proceeded to New York city, preparatory to her embarkation.--In New York Miss Greenfield had many apprehensions. At Buffalo she had become acquainted with Madam Alboni, who greatly admired her voice, and gave her many useful instructions. Upon her arrival in this city she learned that Madam Alboni had an engagement at the "Niblo Gardens." Some friends desired to procure for her a private box at the Italian Opera, where she might have the pleasure and advantage of hearing, undisturbed, this famous songstress. But it was refused her. Nevertheless, her first concert took place at the Metropolitan Hall, on Thursday, March 31st, 1853, in the presence of four thousand people.--Subsequently the following publication was placed in her hand: New York, April 2d, 1853. MISS ELIZABETH T. GREENFIELD:-- _Madam_,--By the suggestion of many enthusiastic admirers of your talents, I have been induced to address you on the subject of another and second concert, prior to your departure for Europe. Your advent musical in "Gotham" has not been idly heralded among the true lovers of song, and admirers of exalted genius; of which your unprecedented success on Wednesday evening must have sufficiently convinced you; while all are eloquent in the commendation of your superior powers, and engaging method. Confiding, Madam, in your reported magnanimity and generosity to oblige, I will divest myself of tedious circumlocution, and fervently exhort you to make a second exhibition of your skill; which, there can be no doubt, will be highly successful to you, and as interesting to your admirers. THE PUBLIC. Miss Greenfield embarked from New York in a British steamer, for England, April 6th, 1853, and arrived at Liverpool the 16th of April, 1853; rested over the Sabbath, and proceeded Monday morning to London, in which metropolis she became safely domiciled on the evening of the same day. But painful trials awaited her from a quarter the most unexpected. The individual with whom she had drawn up the contract for this musical tour was unfaithful to his promises, and she found herself abandoned, without money and without friends, in a strange country. She had been told Lord Shaftsbury was one of the great good men of England, and she resolved to call upon him in person and entreat an interview,--his lordship immediately granted her request, listened patiently to her history, and directly gave her a letter of introduction to his lawyer. The following letter from one of her early friends in Buffalo, will relate some of the incidents of her trial: Buffalo, July 29th, 1853.