IVEACH, the name of two baronies of Ireland, in the county of Down, and province of Ulster. They are distinguished into Upper and Lower Iveach, and the former is by much the largest barony in that county. The name of Iveach, or Hy Veach, is said to be taken from Achach, in Irish called Eachach, grand-father to King Coallpaig, as much as to say "the territory of Eachach;" for hy, in the Irish language, is a common adjective, denoting not only the heads and founders of families, but also the territories possessed by them. Iveach (including both baronies) was otherwise called Magenis's country, and in Queen Elizabeth's time was governed by Sir Hugh Magennis, esteemed to have been one of the most polite of all the natives in those parts. Through part of this barony runs a chain of mountains considerably high, known by the name of Iveach mountains.