Yes, for a nephew is sister's son, brother's son, wife's brother's son, wife's sister's son, husband's brother's son, husband's sister's son
Nephew.
Lover
Great great nephew
Your son's wife is your daughter-in-law. Her brother is not related to you, but is your son's brother-in-law.
If your brother's wife's son is also your brother's son (by birth or by adoption), then he is your nephew and you are his aunt or uncle. If your brother's wife's son is not your brother's son, he is not related to you. However, if your brother married his wife when the son was young, you may choose to treat him as your nephew.
Your father's brother's son is your first cousin. The English language does not have a name for the wife of a cousin. You would simply refer to her as "my cousin's wife."
Your wife's brother's son would be your nephew...
I'd use her name. If the Brother in law is married to your sister, she would be your nephew's wife. And you are not related by blood.
Your brother's son is your nephew. His wife is your brother's daughter-in-law but is not related to you.
Your wife's mother's brother' son is your wife's first cousin, but is not rtealted to you.
Use of their name is appropriate. If you have to explain their relationship, they would be your son's wife's brother, or your daughter-in-law's brother.