Of course she is. The two of you share a common ancestor in one or two of your great great grandparents.
The granddaughter of your great grandmother's sister is your second cousin, once removed.
Your her great great aunt!
Your granddaughter is your sister's great niece. Your sister is your granddaughter's great aunt.
Yes, she would be your great-aunt.
Your sister's daughter is your niece. Your sister's granddaughter is your great niece Your sister's granddaughter's daughter (your sister's great granddaughter) is your great great niece. You are her great great aunt, if you are a woman, or her great great uncle, if you are a man.
Your granddaughter's husband might be called your grandson-in-law, although the term is rarely used. Hissister is your granddaughter's sister-in-law, but is not related to you.
The half-sister of your granddaughter's half-sister is your granddaughter, or is not related to you.
No. The sister is a relation, and her husband is an in-law. The husband's brother is no biological relation either. Therefore, the great granddaughter of the husband's brother is not a relation.
Your sister is her great grandaunt.
Your sister is the great-aunt (also written great aunt) of your granddaughter.
Your son's daughter is your granddaughter. Your sister is your granddaughter's great aunt.
Your sister's daughter is your niece and her granddaughter is your great niece.
You and your wife are great uncle and great aunt to your wife's sister's granddaughter. The granddaughter is your great niece.