First cousins once removed.
my great grand-daughter
You are her great-aunt/uncle. She is your great-niece.
Your niece's daughter is your great niece. You are her great aunt or great uncle, depending on your sex.
Your wife's niece is also your niece, and her daughter is your great niece. It is to be hoped that you do not have a relationship WITH her, merely TO her.
Your brother's daughter is your niece and his granddaughter is your great niece.
great niece
Your daughter and your niece are first cousins Your daughter and your great grand niece are first cousins, twice removed.
Your daughter and your niece are first cousins to each other.
Your brother's daughter has a daughter? That is a great niece.
Great Aunt to Great Niece.
Great Niece.
You are the great aunt/uncle