Your great grandparent's daughter is either your grandmother or a sister of one of your grandarents.
The sister of one of your grandparents is your great aunt. (Some people would say, "grand aunt", which means the same thing.)
Your great grandparents brothers and sisters are your great uncles and great aunts.
Your great great grandmother's niece is the daughter of her brother or sibling and thus the first cousin of one of your great grandparents. Therefore, the niece is your first cousin, three times removed
Your granddaughter has four great grandmother's. Two of them are your mother and your mother-in-law, but the other two are the grandparents of your daughter-in-law. You are not elated to the grandparents of your daughter-in-law.
Your daughter's daughter's son is your great grandson, and you are his great grandfather or great grandmother.
Your aunt is your daughter's great aunt. Your daughter is your aunt's great niece.
She is his great grandniece.
Your grandniece's daughter is your great-grandniece.
Your brother's daughter is your niece. Her daughter is your great niece.
Your nephew's daughter's son is your great-great nephew. Your nephew's daughter is your great niece.
Your mother's brother is you uncle and your daughter's great uncle. Your daughter is his great niece.
Great-niece.
Your Great-Uncle is your father's uncle or your mother's uncle. Another way to look at it is to realize that your great uncle is the brother of one of your grandparents.