IREBY, a parish in ALLERDALE ward below Darwent, county of CUMBERLAND, comprising the town[ ships of High Ireby and Low Ireby, and containing 457 inhabitants, of which nnmber, 164 are in the town of High Ireby, and 293 in that of Low Ireby, in which is the decayed market-town of Ireby, 6 miles (S. by W.) from Wigton. This place is supposed by Camden to have been the Roman station called Arbeia, but no vestiges have been discovered to support this conjecture, nor any other evidence except the similarity of the ancient and modern names. The town, which is irregularly built, is situated in a secluded vale, on the western side of the small river Ellen, which takes its rise in the neighbouring lake of Ovevwater, and in a hilly part of the county. The market, which was formerly on Thursday for provisions, is now but little attended; fairs are held, February 24th and October 18th. The living is a perpetual curacy, in the archdeaconry and diocese of Carlisle, endowed with £600 royal bounty, and £200 parliamentary grant, and in the patronage of the Dean and Chapter of Carlisle. Here is a school, founded in consequence of a benefaction by Matthew Caldbeck, in 1749, endowed with £7 per annum for eight free scholars, and open to all the children in the parish on payment of a small stipend.