The presence of the first spirit.
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 would be your second cousin
Your child and your first cousin's child are second cousins. Your child and your second cousin's child are third cousins to each other.
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.
The Human Spirit is that spirit that enters the body of an unborn child just before it is born. It is said that when the child first moves in the womb that is when the spirit enters the child. That same spirit will leave the body at death and return to that home from where first came to await the resurrection, when it will be reunited with that same body. The body and spirit having fulfilled its purpose here on earth. Human spirit is inspired soul. When a child is born, the body is devoid of soul and spirit. However, the child is born with God's gift of ability to think, feel and act. With the Holy Spirit residing in the body, the child begins to fill its own soul and later, its spirit out of the soul.
Your first cousin's child and your child are second cosins. Your first cousin's grandshild and your child are second cousins, once removed. Your second cousin's child and your child are third cousins. Your second cousin's grandchild and your child are third cousins, once removed.
Your first cousin and your child are first cousins, once removed, to each other. Your second cousins and your child are second cousins, once removed, to each other.
Your first cousin's child is your first cousin once removed. Your second cousin's child is your second cousin, once removed.
Your first cousin's child is your first cousin once removed. Your second cousin's child is your second cousin, once removed.
Your child and your first cousin's child are second cousins. Your child and your second cousin's child are third cousins. It gets more complicated if you are talking about the child of a first or second cousins, etc, once removed or twice removed, etc.
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.