Your wife's mother's brother' son is your wife's first cousin, but is not rtealted to you.
Your half-brother...
Your mother's son is your brother or your half brother.
He is your god brother.
A cousin brother means , the son of the father or mothers , brother or sister.
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."
The son of either your sister or your brother is your nephew. The English language does not make a distinction in that.
cousin
Your mom's uncle's daughter is your mothers first cousin. Their son would be your second cousin.
Your mother's brother is your uncle. Your uncle is your son's great uncle. You are the nephew of your mother's brother. Your son is his great nephew.
nephew
Nephew
Your mother's brother's son would be her nephew and your cousin.