Farrow was born in Los Angeles, California, the third child and eldest daughter of Australian film director John Farrow (John Villiers Farrow) and Irish actress Maureen O'Sullivan. Both Farrow's mother and father were from Catholic families. She is one of seven children, with older brothers Michael Damien (1939-1958), Patrick (1942-2009), younger brother John Charles (born 1946); and younger sisters Prudence and actresses Stephanie and Tisa. Her eldest brother, Michael Farrow, died in a plane crash in 1958, at age 19; Patrick, a sculptor, committed suicide in 2009; and John Charles was in 2013 sentenced to 25 years in prison for child molestation, for sexually abusing two boys over a period of eight years.

In the 1980s and early 1990s, Farrow's relationship with director Woody Allen resulted in numerous film collaborations. She appeared in nearly all of Allen's films during this period, including leading roles in Zelig, Broadway Danny Rose, The Purple Rose of Cairo, Hannah and Her Sisters, Radio Days and Alice (1990). Farrow played Alura, mother of Kara (Helen Slater), in Supergirl (1984) and voiced the title role in the animated film The Last Unicorn (1982). She narrated several of the animated Stories to Remember. Allen said that the way she played her character in Broadway Danny Rose was a "very, very brave thing for her to do," as she had to play her role without ever using her eyes. Citing the need to devote herself to raising her young children, Farrow worked less frequently during the 1990s. Nonetheless, she appeared in leading roles in several films, including the Irish film Widows' Peak (1994), Miami Rhapsody (1995) and Reckless (also 1995). She appeared in several independent features and made-for-television films throughout the late 1990s and early 2000s and wrote an autobiography, What Falls Away, in 1997. Farrow appeared as Mrs. Baylock, the Satanic nanny, in the remake of The Omen (2006). Although the film itself received a lukewarm critical reception, Farrow's performance was widely praised, with the Associated Press declaring "thank heaven for Mia Farrow" and calling her performance "a rare instance of the new Omen improving on the old one." Filmcritic.com added "it is Farrow who steals the show", and the Seattle Post-Intelligencer described her performance as "a truly delicious comeback role for Rosemary herself, Mia Farrow, who is chillingly believable as a sweet-talking nanny from hell." She worked on several films released in 2007, including the romantic comedy The Ex and the first part of director Luc Besson's trilogy of fantasy films, Arthur and the Invisibles. In 2008, in director Michel Gondry's Be Kind Rewind, she appeared opposite Jack Black, Mos Def and Danny Glover. In 2011, Farrow appeared in the film Dark Horse, directed by Todd Solondz. In September 2014, Farrow returned to Broadway in the play Love Letters. The play was well received by critics with the New York Times calling Farrow's performance "utterly extraordinary... as the flighty, unstable and writing-averse Melissa Gardner."Answer this question using a quote from the following article:

What is the name of one of their collaborations?
She appeared in nearly all of Allen's films during this period, including leading roles in Zelig,