[From tiie Sunday Times, June 4.]

For some time past meetings have been held in various parts of the metropolis, of Irishmen who are advocates for the repeal of the union, and also of the Chartists, and the resolutions arrived at hive been to the efi'ect that in the event of any punish ment being inflicted on Mr. John Mitchell, who has now been sentenced to fourteen year's transportation, they would rise en masse to request from the Queen of England iiis release. As soon as the news arrived in town, on Saturday, of Mr. Mitchell's conviction, the various clubs as sembled at their respective places of meeting, and at many of them it was agreed that the members should arm themselves for a demonstration on Mon day evening. It was publicly proclaimed that a public meeting should be convened on the Clerkenwell Green, and that a procession should be formed, but whither it was to march was a profound secret. Seven o'clock was the hour appointed for the meeting. About that time the leaders of the party appeared and took their stations ifi a van, there being from 3000 to 4000 persons present. Mr. Williams was called on to preside, speeches of a very violent and inflammatory character were delivered by several of the leaders, and after them the Chairman called on the meeting to "fall to in marching order," an injunction that was instantly complied with, and with almost military exactness. Williams and the other leaders then descended from the van, and having taken their place, at the head of the procession, moved along St. John-street, and along the City-road- On their way every street poured forth its inhabitants to join the moving.mass. In the City-road, on its way to Finsbury-square, the procession received a great accession of strength, and on reaching that point where the City-road and, Finsbury-square unite, the procession consisted of 1 at least 7000 persons. ' J i In Finsbury-square they were joined by a large body from Stepney-green, where a meeting had also been held. ■ The united body then proceeded through Chiswell-street, Smithfield, Holborn, King-street, and Long-acre, into Leicester-square, where they again halted. It will be readily imagined that so great a concourse of persons marching through the streets, most of them being armed either -with bludgeons, pitchforks, or other dangerous implements, created very great excitement. 