Ashley, it is funny that you mention dual Irish / Canadian citizenship. I was told when I was a kid that I was entitled to Irish citizenship, even though I was born in the North, not in the Republic. I never knew if that story was true or not.
Prompted by your post, I looked it up, just for fun. The story is true. I could, if I wanted to, apply for Irish citizenship, according to the Irish government website. I am not sure why I would, but it is nice to know I could.