CASTLE-Bar, a borough and market town, capital of the county of Mayo in Ireland, is a well-inhabited place, and carries on a brisk trade: it has a barrack for a troop of horse; and there is here a charter school capable of receiving 50 children, and endowed with two acres of land, rent free, by the right honourable Lord Lucan, who has also granted a lease of 20 acres more at a pepper corn yearly.