Some context: Tyler was born Liv Rundgren at Mount Sinai Hospital in East Harlem, New York. She is the only daughter of Bebe Buell, a model, singer, and former Playboy Playmate (Miss November 1974), and Steven Tyler, the lead singer of Aerosmith. Her mother named her after Norwegian actress Liv Ullmann, after seeing Ullmann on the cover of the March 5, 1977 issue of TV Guide. She is of Italian, German, Polish, English and African American ancestry on her father's side and German ancestry on her mother's side.
In 2001, Tyler played the object of infatuation for three men (Matt Dillon, John Goodman, and Paul Reiser) in the comedy One Night at McCool's. In discussion of the role, she said it was "definitely the first part where I had to be so physically aware and have people so aware of me physically. Maybe it's not hard for anybody else, but it is a bit for me. I mean I love my body and I feel very comfortable in my skin but this was tough." Peter Travers of Rolling Stone wrote: "Tyler, a true beauty, gives the role a valiant try, but her range is too limited to play this amalgam of female perfection."  In 2001, she starred in the feature film The Lord of the Rings: The Fellowship of the Ring, directed by Peter Jackson. She played the Elf maiden Arwen Undomiel. The film is based on the first volume of J. R. R. Tolkien's The Lord of the Rings. The filmmakers approached Tyler after seeing her performance in Plunkett & Macleane. She learned to speak the fictitious Elvish language that was created by Tolkien. Mick LaSalle of the San Francisco Chronicle noted that Tyler's performance was "lovely and earnest".  A year later, Tyler again starred as Arwen in The Lord of the Rings: The Two Towers, the second installment of the series. The film received favorable reviews. She spent months learning sword fighting to be used during the concluding battle scenes in The Two Towers, but her scenes were removed after the script was changed. The film was an enormous box office success, earning over $926 million worldwide, out-grossing its predecessor, which earned over $871 million. In 2003, Tyler featured in the third and last installment of the series, The Lord of the Rings: The Return of the King.  Following the success of The Lord of the Rings, she appeared opposite her Armageddon co-star Ben Affleck in writer-director Kevin Smith's romantic comedy Jersey Girl (2004), playing a woman who meets a widowed father played by Affleck, re-opening his heart to love. In an interview with MTV News, Tyler confessed that she felt "scared and vulnerable" while filming Jersey Girl, adding "I was so used to those other elements of the character [Arwen]. On The Lord of the Rings, a lot of things were done in post-production, whereas this was really just about me and Ben sitting there, just shooting off dialogue." However, she reiterated that doing Jersey Girl was what she wanted to do.  In 2005, she appeared in Steve Buscemi's independent drama Lonesome Jim, where she was cast alongside Casey Affleck, as a single mother and nurse who reconnects with an old fling who has returned to their small town in Indiana after a failed run as a novelist in New York. The film was screened at a special presentation at the 2005 Sundance Film Festival where it was nominated for the Grand Jury Prize. Her next appearance in film was in a supporting role as an insightful therapist who tries to help a once-successful dentist (Adam Sandler) cope with the loss of his family in the September 11th attacks in Reign Over Me (2007).
Can you give me a little background information regarding Lord of the Rings 2001-2007?
A: she starred in the feature film The Lord of the Rings:

Some context: The Beatles were an English rock band formed in Liverpool in 1960. With members John Lennon, Paul McCartney, George Harrison and Ringo Starr, they became widely regarded as the foremost and most influential music band. Rooted in skiffle, beat and 1950s rock and roll, the Beatles later experimented with several musical styles, ranging from pop ballads and Indian music to psychedelia and hard rock, often incorporating classical elements and unconventional recording techniques in innovative ways. In 1963 their enormous popularity first emerged as "Beatlemania"; as the group's music grew in sophistication, led by primary songwriters Lennon and McCartney, the band were integral to pop music's evolution into an art form and to the development of the counterculture of the 1960s.
Touring internationally in June and July, the Beatles staged 37 shows over 27 days in Denmark, the Netherlands, Hong Kong, Australia and New Zealand. In August and September they returned to the US, with a 30-concert tour of 23 cities. Generating intense interest once again, the month-long tour attracted between 10,000 and 20,000 fans to each 30-minute performance in cities from San Francisco to New York.  In August, journalist Al Aronowitz arranged for the Beatles to meet Bob Dylan. Visiting the band in their New York hotel suite, Dylan introduced them to cannabis. Gould points out the musical and cultural significance of this meeting, before which the musicians' respective fanbases were "perceived as inhabiting two separate subcultural worlds": Dylan's audience of "college kids with artistic or intellectual leanings, a dawning political and social idealism, and a mildly bohemian style" contrasted with their fans, "veritable 'teenyboppers' - kids in high school or grade school whose lives were totally wrapped up in the commercialised popular culture of television, radio, pop records, fan magazines, and teen fashion. To many of Dylan's followers in the folk music scene, the Beatles were seen as idolaters, not idealists." Within six months of the meeting, according to Gould, "Lennon would be making records on which he openly imitated Dylan's nasal drone, brittle strum, and introspective vocal persona"; and six months after that, Dylan began performing with a backing band and electric instrumentation, and "dressed in the height of Mod fashion". As a result, Gould continues, the traditional division between folk and rock enthusiasts "nearly evaporated", as the Beatles' fans began to mature in their outlook and Dylan's audience embraced the new, youth-driven pop culture.  During the 1964 US tour, the group were confronted with the reality of racial segregation in the country at the time, particularly in the South. When informed that the 11 September show at the Gator Bowl in Jacksonville, Florida was to be held at a segregated venue, the Beatles expressed astonishment and announced that they would refuse to perform unless the show become integrated. Lennon stated: "We never play to segregated audiences and we aren't going to start now ... I'd sooner lose our appearance money." The group's stand drew controversy in the local media, but city officials relented and agreed to allow an integrated show. On the tour the group also refused to stay in segregated hotels. Documents reveal that for their subsequent US tours in 1965 and 1966, the Beatles included clauses in contracts stipulating that shows be integrated.
Did Bob Dylan get on a song with them?
A:
Dylan began performing with a backing band and electric instrumentation,