The recent increase of inmates in the Union Workhouses affords a most striking test of destitution in some places. A few weeks ago only four of the Workhouses had their full complement, and, owing to the repugnance of the peasantry to this mode of relief, many of the houses had not half the nuimber– in some instances not a fourth. But, a this moment, the Workhouses of Cork, Waterford, and some other towns, contain more than they were calculated to accomodate. Altogether, the increase, as compared with last october (1845) is fully fifty per cent. –Evening Post.