Question: Stephen Williams is head coach of which Lutheran school located in Adelaide, South Australia?

full_context: Document 1: Stephen Williams (footballer): Stephen Williams (born 5 June 1961) is a former Australian rules footballer in the South Australian National Football League, playing for the Port Adelaide Magpies and is currently an assistant development coach at Port Adelaide Power and head coach of the Immanuel College first XVIII.
Document 2: Imago Dei College: Imago Dei College is an Evangelical Classical Christian Liberal Arts College in the ‘Great Books’ tradition. It is located in the community of Oak Glen, California in the San Bernardino mountains. The college curriculum, pedagogy and style are reminiscent of the classical educational paradigm. The curriculum is comprehensive both in content (theology, philosophy, mathematics, science, history, literature, language arts, and physical education) and chronologically (from the earliest literary history to contemporary times). Imago Dei College offers one interdisciplinary degree to all their students in Classical Liberal Arts with possible double majors in Theology, Philosophy, History, and Literature.
Document 3: Lincoln College (University of Adelaide): Lincoln College is a Uniting Church in Australia residential college affiliated with the University of Adelaide. It was established by the Methodist Church of Australasia in 1952 and is named after Lincoln College, Oxford at which John Wesley was a fellow.
Document 4: Port Adelaide Football Club: The Port Adelaide Football Club is a professional Australian rules football club based in Alberton, Port Adelaide, South Australia. The club's senior team plays in the Australian Football League (AFL) under the nickname Power, whilst its reserves and development teams compete in the South Australian National Football League (SANFL) under the nickname Magpies. Port Adelaide is the oldest professional sporting club in South Australia and the fifth-oldest club in the AFL. Since the club's first game on 24 May 1870, the club has won 36 South Australian league premierships, including six in a row. The club also won the Champions of Australia competition on a record four occasions. In 1997, the club joined the Australian Football League as the only pre-existing non-Victorian club—and subsequently added the 2004 AFL premiership to its achievements.
Document 5: Christian Brothers College, Adelaide: Christian Brothers College (CBC) is a private Catholic school in the centre of Adelaide, South Australia. It was founded by a group of Irish Christian Brothers in 1878, and it is now one of three Christian Brothers schools in the state.
Document 6: Stephen Kernahan: Stephen Scott Kernahan (born 1 September 1963 in Adelaide, South Australia) is a former Australian rules football player and administrator best known for his playing careers with the Carlton Football Club of the Australian Football League and the Glenelg Football Club of the SANFL from 1981 until 1997. He also played 13 State of Origin games for South Australia and gained selection as an All-Australian five times (1983, 1986, 1988, 1992 and 1994). He later served for six years as president of the Carlton Football Club.
Document 7: Garry Hocking: Garry Andrew "Buddha" Hocking (born 8 October 1968) is a former Australian rules footballer and the current senior coach of the South Adelaide Football Club in the South Australian National Football League. He was formerly the SANFL senior coach of the Port Adelaide Magpies squad, and he served as caretaker coach of Port Adelaide in the AFL for 4 games in 2012, replacing the sacked Matthew Primus.
Document 8: St Ann's College: St Ann's College is a co-residential college in North Adelaide, South Australia. In its early decades, the college had only female boarders. Today it houses 185 tertiary students, both sexes, in single rooms; rooms in the new buildings have ensuites and all rooms have airconditioning. Residents at St Ann's College have a diverse background with most coming from either rural Australia or overseas. Members of the College attend three universities in South Australia, University of Adelaide, the University of South Australia and Flinders University. St Ann's College is privately owned and run, and is not funded by government, church or university. The current Principal of the College is Dr. Rosemary Brooks, who teaches at the University of Adelaide.
Document 9: Immanuel College (Australia): Immanuel College, is a Lutheran school in Adelaide, South Australia. It is the only Lutheran college in Adelaide that has boarders. Its sister schools include Concordia College in Adelaide, Johann-Sebastian-Bach-Gymnasium in Windsbach, Germany and Kyushu Lutheran College in Kumamoto, Japan.
Document 10: Prince Alfred College: Prince Alfred College (also referred to as PAC, Princes, or in sporting circles, The Reds) is a private independent, day and boarding school for boys, located on Dequetteville Terrace, Kent Town – near the centre of Adelaide, South Australia. Prince Alfred College was established in 1869 by the Methodist Church of Australasia, which amalgamated with other Protestant churches in 1977 to form the Uniting Church in Australia.
Document 11: Stephen Kenna: Stephen Kenna (born 8 October 1981) is a former Australian rules footballer who played with Carlton in the Australian Football League (AFL). After being delisted by Carlton, Kenna moved to South Adelaide in the South Australian National Football League (SANFL). He played 48 games for South Adelaide, coming second in the 2006 Magarey Medal and representing the SANFL twice, before returning to Melbourne midway through 2007. Once back in Melbourne, Kenna played for Box Hill in the Victorian Football League (VFL), whom he had played for before being drafted by Carlton. He won the club's best and fairest in 2008 and was captain of the club in 2009 and 2010. Kenna is now teaching at Kalinda Primary School in Ringwood, Melbourne.
Document 12: Steve Coppell: Stephen James Coppell (born 9 July 1955) is an English football coach and former player, who is the head coach of the Jamshedpur FC in the Indian Super League.
Document 13: Concordia College (South Australia): Concordia College is an independent and co-educational Lutheran school located in Adelaide, South Australia. Established in 1890, Concordia caters for around 1300 students from ELC to Year 12. The school has been an International Baccalaureate (IB) World School since January 2001 and offers the IB Primary Years, Middle Years and Diploma Programmes. "Concordia" is a Latin word meaning "harmony".
Document 14: Sunrise Christian School: Sunrise Christian School is a Pentecostal school located across five campuses in South Australia. It is a member of the Adelaide Christian Schools group of schools. The group comprises Sunrise, Temple Christian College, Sunrise Christian School, Whyalla and Sunrise Bethel Christian School in Port Moresby, PNG. The original campus is located in Fullarton and this location still hosts a campus which serves as the emotional "home" of the Sunrise network.
Document 15: Jacob Surjan: Jacob Adam Surjan (born 15 August 1985 in Perth, Australia) is an Australian rules footballer of Croatian descent and former player of the Port Adelaide Football Club. He currently serves as the development coach of the Port Adelaide Football Club at AFL level, and as the midfield coach of Port Adelaide at SANFL level.
ground_truth: Immanuel College