The name Marissa is a Latin baby name. In Latin the meaning of the name Marissa is: Of the sea.and Mary. American Meaning: The name Marissa is an American baby name. In American the meaning of the name Marissa is: Of the sea.and Mary.Hebrew Meaning: The name Marissa is a Hebrew baby name. In Hebrew the meaning of the name Marissa is: Wished-for child; rebellion; bitter.atin Meaning: The name Marissa is a Latin baby name. In Latin the meaning of the name Marissa is: Of the sea.and Mary. American Meaning: The name Marissa is an American baby name. In American the meaning of the name Marissa is: Of the sea.and Mary. Hebrew Meaning: