I live in Co Antrim too and agree with Gaffy that in Ireland the emphasis is on the first syllable of a name or place name. However in Scotland (and elsewhere), the emphasis can often be on 2nd syllables. So the pronunciation changes. An obvious example is the surname KINSELLA, which in Ireland is Kin’sla, but in Scotland or England is generally Kin-sell-a.
I agree completely with gaffy. In Ireland the name Tierney is Tear-ny (with the “ny” being an afterthought).