Greek Meaning: The name Anderson is a Greek baby name. In Greek the meaning of the name Anderson is: Son of Ander. Norse Meaning: The name Anderson is a Norse baby name.In Norse the meaning of the name Anderson is: Son of Ander.American Meaning: The name Anderson is an American baby name. In American the meaning of the name Anderson is: Son of Ander.he name Anderson is a Norse baby name. In Norse the meaning of the name Anderson is: Son of Ander. American Meaning: The name Anderson is an American baby name. In American the meaning of the name Anderson is: Son of Ander.