Ballarhenny is a farm probably in the Treen of Rencullin. This is close to the boundary between the parishes of Michael and Ballaugh and is to the west of the main road running between the towns of Peel and Ramsey.(A treen is an old land division often made up of four "quarterland" farms).
Lougham my madjey may be a corruption or transcription error for Lough na Masha, or Lough ny Mashey, which appears to have been a quarterland farm in the Treen of Leyre which may be adjacent to Rencullin.