The name Olivia is a Spanish baby name. In Spanish the meaning of the name Olivia is: Olive. Swedish Meaning: The name Olivia is a Swedish baby name. In Swedish the meaning of the name Olivia is: Olive.American Meaning: The name Olivia is an American baby name. In American the meaning of the name Olivia is: Olive.Latin Meaning: The name Olivia is a Latin baby name. In Latin the meaning of the name Olivia is: Olive: symbol of peace. Shakespearean Meaning: The name Olivia is a Shakespearean baby name.In Shakespearean the meaning of the name Olivia is: Twelfth Night', also called 'What You Will' A rich countess.he name Olivia is a Swedish baby name. In Swedish the meaning of the name Olivia is: Olive. American Meaning: The name Olivia is an American baby name. In American the meaning of the name Olivia is: Olive.