THE LITTLE NECK MURDER.Ttie EumlBftUon of William CosllganBe«an—Tfitlmony of Mn. Lillie NeUou.The examination or William Costigan, the youngman who was arrested in New York last week onsuspicion oi being connected with the murder ofJanies Graham, the murdered shoemaker, of LittleNeck, was begun at Flushing on Friday. Costiganwas suspected of being the writer 01 the letter received by Constable Roe recently, not a comparison id hie handwriting proves that the supposition was incorrect. The poison writing this letter offered to disclose the inurcierers provided he was not prosecuted. The examination was beiore Justices A-awrence and t^uarterman, Mr. M. I). Gould appearing tor the defence, and Mr. William J. lounge lor the District Attorney, who is absent.Mrs. Lillie Nelson was the only witness examined Friday, sue says she lives m Bay side now, but at the time of the murder she was living in Flushing, i and that the prisoner had visited her house the ' day ajter the tragedy, about one o’clock in the al- I ter noon; lie said he lived in New York, but had I ».een staving with his uncle, Kictiard Key hoe. stone I mason, of Little Neck ; he tolu the witness that rus uncle had gone to New ^ ork and that he intended to follow him on foot; he said lie had been down to Mike Daley’s, at the Neck, that day, and while there a man «ariic in and said that “Jim the Shoemaker had shot himself or be n shot tue night before; he also said that he had been up that way that night about nine o'clock ana Graham had been pointed out to Inm; he said he had never seen linn before that night and wanted to know if he was not a dark, low sized man, with black whiskers; the witness aiM) Hiiid that the prisoner was much excited at the tline..Alter cross-examination the investigation was adjourned til; tomorrow morning at nine o’clock.