Hebrew Meaning: The name Sarina is a Hebrew baby name. In Hebrew the meaning of the name Sarina is: Princess.American Meaning: The name Sarina is an American baby name. In American the meaning of the name Sarina is: Princess.n Hebrew the meaning of the name Sarina is: Princess. American Meaning: The name Sarina is an American baby name. In American the meaning of the name Sarina is: Princess.