Cosima is a feminine given name, the feminine version of the name Cosimo. It is derived from the Greek word meaning "order, decency." Cosmo was a fourth-century saint who was martyred with his brother Damian. They are the patron saints of medical doctors. An Italian male version of the name is Cosimo. Authors Pamela Redmond Satran and Linda Rosenkrantz commented in their 2007 book The Baby Names Bible that the name sounds exotic and is a fashionable name for the daughters of members of high society in the United Kingdom