The Naturalization Act of 1855.
"In 1855 allowed alien women to acquire citizenship by marrying a United States citizen, or upon his naturalization. A womans citizenship was directly tied to that of her husband. Women and children automatically received naturalization upon the husband or fathers naturalization. "
Thanks for posting the Act. And for clarification, the children to which the Act refers would be children born before the father became naturalized since any children born after would be NBC’s.