You are probably referring to the British game of Cricket or the older game of Rounders.
Your uncle's daughter is your first cousin. The English language does not have a special term for the spouse of a cousin. That spouse is not considered to be related to you.
No, your mother's first cousin is your first cousin once removed. Her second cousin is your second cousin once removed. Your mother's sister is your aunt.
In the sense of what is the name of the relationship, that would be "second cousin-in-law", though if you are that close to your second cousin and his wife, you could just say, "cousin". In the sense of how you would address her, it would be the same as with your second cousin. Just the name that she goes by. After all, "second cousin", or even "cousin", isn't a title like Uncle or Aunt is.
Your father's brother's son is your cousin or first cousin.
The English language does not have a widely accepted relationship term for the husband of your first cousin. That person is not considered to be related to you. If you must describe him other than by name, you might call him your "cousin's husband." Some people use the recently invented term "cousin-in-law."
Your aunt's daughter would be your cousin. If you are related to your aunt by marriage and not blood, then her daughter could be considered your step-cousin.
Your wife's first cousin, once removed. The English language has no shorter term or special name for that person.
how is cousin Rose (if accent over first 'o', and 'a' in esta') how cousin Rose is (ditto) Like this cousin Rose (if no accents)
A niece. How could you not know that
my cousin patty langeloh!
Samuel Johnson life story was considered to be the first biography in English.
The child of your first cousin, once removed, is your first cousin, twice removed, if your first cousin once removed is the child of your first cousin. If your first cousin once removed in the first cousin of one of your parents, the child is your second cousin.