If my dad is 1/4 Scotch-Irish and my mother is 1/4 Scotch-Irish--what does that make me, their daughter?

I'll point out to some people not acquainted with the nomenclature.

Scotch-Irish or Sots-Irish are what Irish Protestants are called, as they often have ancestors on both sides of the sea. In America, you aren't considered Irish unless you're Catholic or are of recent arrival.

You'd be a quarter Scots-Irish, as two of your eight great-grandparents are this ethnic group.

Example. If your dad was 1/2 Irish and 1/2 American and your mom would be full American, you would be 1/4 Irish, since one of your grandparents is Irish and the other 3 are American.

So if 1 of your dads grandparents is Scotch/Irish and 1 of your mothers is as well. 2 of your greatgrandparent are Scotch/Irish. So you are 2/8 Scotch/Irish. 2/8 is the same as 1/4 so your 1/4 Scotch/Irish.

Scotch is a drink, not a race of people.

It would probably be far more accurate to describe you as being 100% American, especially as it sounds like neither of your parents have ever been anywhere near the UK and they don't come from here. By your reasoning everyone should count themselves as 100% African because in the distant past that's where all of our families came from.

It makes me laugh the way that so many Americans call themselves Irish, despite none of their ancestors for several generations ever living in Ireland.