Sure, but what I'm saying is that most people are biracial. You however are saying the term doesn't apply to people whose 4th great grandparent is white and the rest Black - though that person is also Black and white and biracial. So I'm getting that when people use the term biracial, they usually mean one parent is Black and one is white, or maybe a grandparent. I don't like the separate term based on what generation your mix comes from.
Your daughter has one parent who identifies as white and one who identifies as Black - that's a fact and is part of who she is. But labelling herself "biracial" because of it is a political choice. Labelling herself "Black" is a political choice. What choice you make depends on what value you (gy) put on the fact of having a white and a Black parent, is all I am saying.
Get used to me. Black, confident, cocky; my name, not yours; my religion, not yours; my goals, my own; get used to me. -Muhammad Ali