You check with your area's social services. You see a lawyer. You have the baby declared abandoned and neglected. You petition to adopt. The lawyer can tell you what hoops to jump through and forms to sigh.
If the daughter is biologically related to you, it would be your great-grandchild. If your husband had his daughter before he married you (which would make her your step-daughter), it would be your step-great-grandchild.
She is yours until 18, as is your grandchild. The fact that she is pregnant has no bearing on your responsibility.
Your grandchild through one daughter and your great grandchild through another daughter are second cousins, once removed.
second cousin
If you have a niece or nephew, it is their daughter.
Your uncle's grandchild would be your second cousin because his grown son or daughter would be your first cousin.
Your daughter and your sister's child are first cousins. Your daughter and your sister's grandchild are first cousins, once removed.
First cousins once removed.
The state the child is in.
You do not have parental rights to your grandchild. Only his parents do.
The synonym for granddaughter is "grandchild," which refers to any child of one's son or daughter.
Queen Victoria's eldest grandchild was her daughter Victoria's son Wilhelm. He would become Kaiser Wilhelm II of Germany.