The Following circumstances relating to the famous Ansell Nickerson, and the boy, (mentioned in the trial to be carried away by the pirates) who, they say is arrived at Martha's-Vineyard : also, the testimony of two men, belonging to Seaquin, who were robbed by a top-sail schooner with four boats, on the fourteenth of November: to which is added, the declaration of a justice of the peace, respecting Mr. Nickerson's innocence of the murder and robbery in Nov. All which particulars have transpired since his trial and acquittal.