The name Sabrina is an English baby name. In English the meaning of the name Sabrina is: Legendary princess. American Meaning: The name Sabrina is an American baby name. In American the meaning of the name Sabrina is: Legendary princess.Italian Meaning: The name Sabrina is an Italian baby name. In Italian the meaning of the name Sabrina is: From the border.Latin Meaning: The name Sabrina is a Latin baby name. In Latin the meaning of the name Sabrina is: From Cyprus, or from the river Severn.In British legend, Sabrina was the illegitimate daughter of the King of Britain and was drowned in the river by her father's ex-wife.he name Sabrina is a Latin baby name. In Latin the meaning of the name Sabrina is: From Cyprus, or from the river Severn. In British legend, Sabrina was the illegitimate daughter of the King of Britain and was drowned in the river by her father's ex-wife.