Yes. If the the first cousin is one of the parents of the child and has a job but refuses to pay for food and clothing, and you are caring for the child, you qualify to file for child support. You may not be able to marry the first cousin as that is illegal in some but not all jurisdictions, but you can file for child support.
Your mother's first cousin's child is your first cousin, once removed.Your mother's first cousin's child is your child's second cousin.
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.
Assuming both children are on the same side of the family, your child's first cousin is a second cousin to your first cousin's child. Your child is also a second cousin to your first cousin's child. Your child can have first cousins who are not related to your first cousin and thus not related to your first cousin's child.
No. The child of your first cousin is your first cousin, once removed.The child of your first cousin and your child are second cousins to each other.
Your first cousin's child is your first cousin once removed.
The child of your first cousin is your first cousin once removed, and you are first cousin once removed to that child.
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.
Of course, your first cousin's child is related to you; you have ancestors who are also ancestors of your cousin's child. Your first cousin's child is your first cousin, once removed. Your second cousin's child is your second cousin, once removed.
The child of your first cousin is your first cousin, once removed.The child of your second cousin is your second cousin, once removed.And so forth.
Your first cousin's child is your first cousin once removed.
The aunt of your first cousin's child is your first cousin's sister, who is also your first cousin.
The child of your first cousin is your first cousin, once removed.Your child and the child of your first cousin are second cousins to each other.