Your grandfather's first cousin is your first cousin twice removed. You are both descended from one of your great great great grandparents. His wife, however is not related to you.
Her niece might be the daughter of a sibling of your grandfather's first cousin. (Remember that your aunt can be the wife of your parent's brother or the sister of your parent.) In that case, the niece is your first cousin once removed.
The other possibility is that the niece is the daughter of the sibling of the first cousin's wife. Since the wife is not related to you, her sibling would not be related t you and the wife's niece is not related to you at all.
Your father's nephews and nieces are your first cousins.
Most likely they would not be related to you
Great nephew. Your children are the first cousins of your niece and your children would be first cousins once removed. Your grandchildren and your niece's child would be second cousins.
You would be second cousins.
Your niece and your son or daughter are first cousins. That would make your niece and your grandchild first cousins once removed. Your niece's child and your grandchild are second cousins.
Your son and your niece are first cousins to each other. Your son and your niece's son are first cousins, once removed.
Your aunt's grandchildren would be your first cousins once removed, as the your aunt's children are your first cousins.
Either they are second cousins or technically not related at all. Your cousin's niece would be one of her siblings' children, in which case it would one of your cousin's daughters, or her spouses' niece, in which case there is no blood relationship, but most families would refer to them as a cousin.
Your niece and your child are first cousins. There is a difference on one generation between the two. That would make them first cousins once removed.
Yes, of course your son and your great niece are related. They are first cousins, once removed, to each other. (Your great niece's parent, your niece or nephew, and your son are first cousins to each other.)
Your grandmother is first cousins with cousin. Your parent would be the second cousin of the cousin's son. That would make you second cousins once removed.
You would be second cousins.