Great to see so much enthusiasm. Coleraine wasn't a given name until the plantations. It might be more realistic if you gave them their original Irish names (as this is pre-plantation). Cork is Corcaigh, Dublin is Bailé Atha Cliath, Galway is Gaillimh and Coleraine is Cúil Raithin. As for the Northern province, I'm surprised you didn't choose Dungannon (Irish Dún Geanainn), as it was Hugh O'Neill's HQ and the capital of Ireland, not to mention my home town.

As for units. Irish infantry was made up of lightly armoured, but ferocious high stamina and morale troops. The accumulated of mainly Axes, Spears and weak bowmen. However, in the late period they did use muskets and these proved very effective in The battle of the Yellow ford in which Hugh O'Neill (Irish Aodh Ó Neill) defeated an English relief party attempting to take back a fort. The Irish didn't use cavalry much, as they prepared to fight on foot.The Irish also happened to get into diplomacy with Spanish and French who sent troops in order to help defeat the English. Vikings heavily influenced the Irish, so Danish Mercenaries may be good. As for Irish general names:

Forenames: Rónán (My name :)), Aodh (Hugh), Liam, Cáolan, Séamus, Brian, Padraig and others. (Could you use my name in it, though? :))

Surnames: Ó Cuinn (Mine), Ó Neill, Mag Uidhir, ó Dálaigh, Mac Dónaill and others..

Could you use my name in it? :)