Alice, They are all in County Antrim, North-East Ireland. Slemish Mountain near Ballymena is associated with Saint Patrick. Cavehill overlooks Belfast, this is the where the United Irishmen of 1798 planned their rebellion. Donegore is about 5 miles North-East of Antrim Town, Sir Samuel Ferguson the Poet is buried here. Garmoyle and Carmoney Hill I will locate later, but County Antrim was Henry Joy`s territory. The version of Henry Joy you refer although not as familiar as the more popular version has a much nicer melody. Hope to hear you singing it soon. Slan Ard Mhacha.