In the scene in The Dark Knight Rises where
Miranda Tate confesses to Batman that she is Talia Al'Gul,
she says something about her finally forgiving her father when he died. Why did she have to forgive her father in the first place? And did she willingly leave the League of Shadows or did they banish her along with Bane?
Talia resented Ra's Al Ghul because he excommunicated Bane.
Ra's Al Ghul excommunicated Bane because he reminded him too much of his wife, Talia's mother, and the prison she was kept in because of him. Talia loved Bane (in a fatherly sort of way), and so when he was excommunicated, Talia acquired a resentment towards her father that did not pass until his death.
When Bane was excommunicated, Talia left with him. Because they still maintained the ideals of the League of Shadows, they became the heads to fulfill Ra's legacy after he died.
Within the context of the movie Talia is referring to the fact that:
Her father left her mother when she was pregnant with her. And her mother ended up the one who was imprisoned for her father's mercenary work. Talia was left to grow up in the pit with only Bane as her protector.
As far as if Talia was banished with Bane the movie isn't clear. But Bane does make a point to say that since Ra's Al Ghul is dead, he is the League of Shadows.
(really Talia is leading it)
