Talia al Ghul is the daughter of international terrorist Ra's al Ghul. This makes her a member of the League of Assassins. Ra's has determined that Batman is most worthy to father his heir, and Talia views Batman as her beloved. They were briefly married. In her early adventures she was not evil, but very loyal to her father. Eventually her actions turned truly villainous and she became one of the world's greatest criminals. Her child with Batman is Damian Wayne, who later becomes Robin. She has also been a member of Leviathan, LexCorp and The Society..
 

In her dealings with Bruce Wayne as the Batman grew in prominence, Talia managed to seduce him into what he thoughtwas love, but turned out to be nothing more than an attempt to merge the Wayne and al Ghul bloodlines to produce an heir for the League of Assassins, as the attempt to wed the two had evidently failed. Upon the birth of her son from an artificial womb, she immediately began a very harsh training regimen to groom him for the League. Despite being told by her father that her mother had died in childbirth, Talia had later met her mother Melisandre.

 

The woman had posed as a fortune teller, and told her future with the demon star Algol. Algol is a binary star seen as the eye of the Gorgon in the constellation Perseus. It represents Medusa, a once-beautiful woman scorned and turned into a monster whose gaze could destroy men. Before Melisande was dragged away, she counselled her daughter to hide strength by appearing helpless. The fortune made Talia recall her early loving relationship with Batman                                                               Cited Source: dc.wikia.