No, they are not cannot.
yes they become your cousin.
the baby is your second cousin
Yes.Not only can you, you are so related and cannot become unrelated to your first cousin twice removed.
The grandson of your first cousin is your first cousin, twice removed. The grandson of your second cousin is your second cousin, twice removed. If you are talking about the grandson of a cousin who is once, twice, or more times removed, the possible relationships become more complicated to describe.
You are not related to your husband's cousins, although in a large but close family such as the stereotypical Italian or Jewish families, you all may act like relatives.
Your grandfather's first cousin is your first cousin, twice removed. Your grandfather's second cousin is your second cousin, twice removed. Your grandfather's third cousin is your third cousin, twice removed. The relationship possibilities become more complex if you are talking about your grandfather's cousins who are once (or more) removed.
A person's relationship to the child of a cousin is the same as that person's relationship to the cousin, with one remove added. If your cousin is your first cousin, then his son is your first cousin, once removed. If your cousin is your second cousin, then his son is your second cousin, once removed. If your cousin is your first cousin, once removed, then his son is your first cousin, twice removed.
Your first cousin's grandson is your first cousin twice removed. Your second cousin's grandson is your second cousin twice removed. Your third cousin's grandson is your third cousin twice removed. And so forth. If your cousin is once removed, twice removed, etc., the relationship possibilities for you and the grandson become more varied and complex.
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.
Your mother's first cousin is your first cousin, once removed. Your mother's second cousin is your second cousins, once removed. Your mother's third cousin is your third cousin, once removed. The potential relationships become more complex if your are talking about your mothers cousins once, twice or more removed.
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If your first cousin once removed is your parent's first cousin, then your first cousin once removed is your child's first cousin twice removed.If your first cousin once removed is the child of your first cousin, then your first cousin once removed is your child's second cousin.