Okay, we need to talk about the "Scotch-Irish" thing too.
Once upon a time, England thought it would be cool if they moved people from Scotland into Ireland, against the will of everyone.
A lot of those people decided that, instead of living in a foreign land where everyone hated them (being living representatives of England flipping-off Ireland) They would just be done with it and move to America.
In America, I guess it wasn't common knowledge that people from Scotland were called "Scots," or maybe "Scotch" was just easier to say. Whatever the case, the people from Ireland by way of Scotland became known as "Scotch-Irish"
It is accurate to call them Scotch-Irish, because that is a word that refers to, and contains the history of, a unique group of American people. They are not "Scots-Irish" for the same reason I'm not "Irish." We're American now.
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"What if you just eat vegetarians?"-neonreaper
"^ You are what you eat. ^_~"-Koiji