let me explain to all on this thread why she sees her self as “black”. From the moment she walked out her front door she was identified as black, when she was in elementary school she was “black”, she was “black” in high school. Thousands of moments taught her who others thought she was. Her culture labeled her and she accepted/acknowledged/embraced the label. If she passed you in the grocery store you would think “wow, that is a beautiful black women”.
As far as her daughter, I would suppose like all mothers, she wants her child to be what she is.
One hopes that it will get better with time, but I don't know.... there's still a heck of a lot of history to work through.