Mr. Mulligan was received with prolonged applause, and said, that although he bore an Irish name, he had never been ashamed to associate with Americans. His father, while yet on his way from Ireland, had been elected a Justice of the Peace in New York, and his son should be the last one to neglect the Union in its hour of need. What we wanted now, was, that the example of our Irish citizens should be imitated by the others, and that the war should be prosecuted with vigor. (Continued cheering.) Irishmen need never despair of this glorious Union, which had often been a House of Refuge for them, and could not fall without carrying Ireland with it,--so closely were the two great nations knit together. The Irish would never despair: "For Freedom's struggle once begun, Bequeathed from bleeding sire to son, Though baffled oft, is ever won." When the enthusiasm had subsided, the chairman expressed his regret that the Emperor of Russia had not arrived yet; but felt confident that his place could not be better supplied than by Mr. Mickey Flanigan, whose forefathers were themselves the fellow-countrymen of Daniel O'Connell. (Great applause.) Mr. Flanigan arose amidst great cheering, and said that it was a time when every Irishman should feel as though the eyes of the whole world were upon him. He had found the natives of this country intelligent, kind, and hospitable; and though they had not taken his advice as to the management of this war, he firmly believed that no Irishman would disagree with him when he said, that Irish arms and Irish hearts would finally conquer: "For Freedom's battle once begun. Bequeathed by loyal sire to son, Though baffled oft is ever won." As soon as the demonstrations of approval had sufficiently subsided, the chairman stated, that, for some unknown reason, Queen Victoria was behind time; yet he could not, for his part, feel sorry for an event which gave him an opportunity to introduce Mr. Figsey Korigan, who represented that element of the world's hidden, free spirit which had thundered in an Emmett and an O'Brien. (Great enthusiasm.) Mr. Korigan acknowledged the glorious welcome he had received, and declared that this was a proud day for Ireland. Her sons were ever foremost in the ranks of human freedom, shedding their votes for the oppressed of all lands, and fighting all the time. He would say to that Irishman who despaired of this Union, that he was unworthy of any office, and should blush to call himself an American. The speaker's own family had always been Irish, though he himself was born in Cork, and he would be ashamed to stand on that platform if he did not believe that the freeborn Irish soul would eventually triumph: "For Freedom's contest once begun, By bleeding sire bequeathed to son, Though baffled oft is ever won."