The English language has no specific term for a relationship between your uncle and your wife. Your uncle will usually call her "my nephew's wife" and she can call him "my husband's uncle."
If your uncle is your uncle because he is the brother of your mother or your father, you are not related to his wife's brother. However, if your uncle is your uncle because he married the sister of your mother or your father, then your uncle's wife's brother is your father, or other one of your uncle's.
No, you are not related to your wife's uncle.
The son of your Uncle's son is your uncle's grandson. Your uncle's grandson is your first cousin, once removed.
Joseph Stalin
In relation to yourself, the brother of your maternal parent is known as your maternal uncle.
Your are a great uncle. I mean, I'm sure you're a wonderful uncle! But great uncle is your relationship. The child is your wife's sister's great grandchild, right? So you are great uncle.
Technically you are not related to your uncle's wife's sister, but some families think of such a person as another aunt, and the sister may think of you as her nephew.
There is no relation between you, and your biological Uncle's wife's sibling's daughter. Your Uncle's wife is technically an "Aunt in law", though as routine courtesy is simply called "Aunt". Her brother/sister, if your family and her family are that close, could be regarded as an "Uncle/Aunt in law", as a stretch. Thus the daughter of him/her could be thought of as a "cousin in law" to you. But this is all a matter of courtesy, there is no biological or legal relation.
There is no direct connection, only one of marriage. She is your niece. You are her uncle.
You are no direct relation but as your wife would be an "Auntie" to him you would be called "Uncle".
If your uncle is your uncle because he is the brother of your mother or your father, you are not related to his wife's brother. However, if your uncle is your uncle because he married the sister of your mother or your father, then your uncle's wife's brother is your father, or other one of your uncle's.
Your uncle-by-marriage's nephews might be you and your siblings. You are your uncle's nephew or niece.They might be the children of your aunt's siblings (your aunt being his wife), in which case they are your cousins.If they are your uncle's nephews by virtue of being children of his siblings, they are no relation to you at all.
Your great uncle
Your great uncle's wife would be your great aunt by marriage. Her great niece could be you if you are female. If not, she could be your sister, your first cousin or your second cousin. She could also be unrelated to you.
Your uncle's wife is your aunt.
No, you are not related to your wife's uncle.
Your aunt may be the sister of your father or mother, or your uncle's wife. In the former case, an aunt's sister could be another aunt, or could be your mother. In the second case, the sister of your uncle's wife has no direct relationship to you at all.