Appleby, Jan., 1, 1844.
    The business was exceedingly light, there not being more than two trivial cases for trial.  The magistrates present were W. CRACKANTHORPE, Esq., who acted as chairman; Wm. HOPES, Esq.;  the Rev. T. BELLAS;  J. MILNER, and S. JEFFERSON.
    The grand jury having been sworn, the chairman briefly addressed them, and congratulated them upon the favourable position of Westmorland, in the comparative absence of crime.
    The grand jury in a short time found true bills against the prisoners, who were arraigned accordingly.  Margaret MARTIN, aged 14, pleaded Guilty to a charge of stealing two pair of boots, from the dwelling house of the Rev. J. MILNER.
    The prisoner was strongly recommended to mercy, and was sentenced to 14 days imprisonment.
    John LAWSON pleaded Guilty to a charge of stealing a silk handkerchief, and a waistcoat, the property of William FARRAR of Morland.
    Sentence to be imprisoned 3 months with hard labour.