The Emigration Movement. Although winter is now fairly set in, and thus early there is a prospect of its being a severe season, the flight of the people proceeds almost as generally as it did during the months of Spring and Summer. The arrivals of emigrants in Dublin do not appear to be quite so numerous, yet the leading shipbrokers find it difficult enough to provide accommodation for the applicants for passage who swarm the offices along the quays and docks here.A respectable medical practitioner in the metropolis and his numerous family were among last week's departures for New York: and , if report speaks truly, next year will witness the exodus of no inconsiderable body of the members of an another profession, that of the law, the business of which has declined, and must further still decline, to a point at which it would be hopeless to expect that provision could be made for one-fourth of the persons who had heretofore derived a competence from this fast-fading branch of Irish resources. Speaking of the flight from the South, The TIPPERARY FREE PRESS says- ' The emigration of the people has progressed, and is progressing, to an awful extent. On Thursday over sixty carloads of peasants, from the Counties of Tipperary and Kilkenny, arrived at Waterford to take shipping for Liverpool en route to America. In most instances they appeared of the better class, and were well and comfortably clothed. A singular fact is, that among them were several old men and women, who were going doubtless to join their children in the land of freedom. From the Times Nov. 12th 1851. Mary