Talia al Ghul ( ) is a fictional character in the DC Comics universe, the now-estranged daughter of the supervillain Ra's al Ghul, a love interest of Batman, and the mother of his son Damian Wayne, the fifth Robin. She sometimes uses an anglicized form of her name, Talia Head (derived from her father's name, which is Arabic for "Head of the Demon"). However, this name is based on a translation mistake, as al Ghul means "(of) the demon" and "Ra's" is the part of her father's name that means "head".
She first appeared in Detective Comics #411 (May 1971). Her usual role is as a recurring romantic interest for Batman; her father, the leader of a worldwide criminal empire, considers Batman the man most worthy to marry Talia and to become his heir. It is natural that Batman is uninterested in the criminal empire, but he has shown considerable interest in Talia.
She is a complex character, not quite heroine nor villainess but more of an antihero. She has undoubtedly committed criminal acts; however, they were usually committed due to her loyalty to her father rather than for personal gain. She has saved Batman's life or helped him on numerous occasions. Furthermore, she helped to bring about the downfall of Lex Luthor.
The graphic novel Batman: Birth of the Demon (1992) explains how her father met her mother, who was of mixed Chinese, European, and Arab descent. Talia's mother later dies of a drug overdose. This is a retcon of Batman: Son of the Demon (1987), which states that Talia's mother was named Melisande and was murdered by a former servant of Ra's named Qayin.
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Official Site: DC Comics
Links: Talia Al Ghul Wikipedia page Gotham Girls: Talia al Ghul Comicvine Talia page