Your mother's sister-in-law is either the wife of her brother (your uncle), or your father's sister (your aunt).
The niece of your uncle's wife is not related to you, unless she is you, your sister, or a girl cousin who is the daughter of another of your mother's brothers or sisters.
The niece of your father's sister is you, your sister, or the daughter of another of your father's brother's or sisters. If your father's sister is married, she may have nieces who are the daughters of her husband's brothers or sisters. Those nieces are not related to you.
No. Your wife's niece is also your niece, but the husband of the niece is not related to you or to your wife.
Your father's niece is your 1st cousin.
Your niece's husband's daughter is also your niece's daughter and therefore she is your great niece. You are her great aunt or great uncle, depending on your sex. If your niece's husband's daughter is from a previous marriage, and so not also your niece's daughter, you are not related to her. Of course, if your niece adopts her, then she is your adopted great niece. If your niece married her husband while his daughter was very young and everyone has been treating her as your niece's daughter, then you can call her your great niece if you want, but that does not change the fact that you have no common ancestors and therefore are not related to each other.
Your sister-in-law's niece is not related to you because you have no ancestors in common. ----- The above answer is true, but by marriage, that niece would also be your niece or your own daughter. This is because your spouse is blood/sibling related to his/her sister (your sister-in-law).
No
Your niece and your daughter are first cousins to each other.
Your grandchild and your niece are first cousins, once removed.
maybe
Your sister's daughter is your niece. Your niece's husband is not related to you.
The son of your great niece is your great great nephew.
Your sister-in-law's niece is not related to you because you have no ancestors in common. ----- The above answer is true, but by marriage, that niece would also be your niece or your own daughter. This is because your spouse is blood/sibling related to his/her sister (your sister-in-law).
Your niece and your daughter are first cousins. Your daughter and the daughter of your niece are first Cousins, once removed.