So far in my research, I have discovered that I have at least two ancestors who were born in Ireland. At the moment, I do not know where in Ireland they were born, I do know where and when they married. One piece of information that one can glean from a Scottish birth certificate is the date and place of the child's parents' marriage. As one of my great-grandfathers was born in Scotland, I have a date and place. According to this certificate, my great-great-grandparents were married in Ballymena, Antrim County, Ireland.
Antrim county happens to be in Northern Ireland. According to Ballymena's town council website, Ballymena has been settled for centuries. You can read more about the history of this town here and here. One of the attractions appears to be a mountain located north of the town of which more information can be found here. From looking at the official tourist site, I think I would be fascinated by the history and the old churches and buildings of the town.
Of course, I do not know if either of my ancestors were born there or lived there. All I know at the moment is that they got married there, and I do not know at which church they would have married. Hopefully, I will be able to find that answer in the near future.