Question: What is the name of the Adelaide local government area, located south of the Adelaide City centre which Joseph Vardon sat on?

Context paragraphs:
Cleland, South Australia: Cleland is a suburb in South Australia located in the Adelaide metropolitan area about 10 km south-east of the Adelaide city centre.  Its boundaries were created in October 2001, with additional land being added in 2010 from the adjoining suburb of Crafers.  Its name is derived from the Cleland Conservation Park.  The principal land use within the locality is conservation with the majority of its land area being occupied by the Cleland Conservation Park.  Places within its extent include the summit of Mount Lofty.  Cleland is located within the federal Division of Mayo, the state electoral district of Bragg and the local government area of the Adelaide Hills Council.

Billiatt, South Australia: Billiatt is a locality in the Australian state of South Australia located in the south-east of the state in the Murray Mallee region about 168 km north-east of the Adelaide city centre.  Its boundaries were created in September 2000 for the “long established local name”.  Its name is derived from the Billiatt Conservation Park and the Hundred of Billiatt.  The principal land use within the locality is conservation with the majority of its land area being occupied by the Billiatt Wilderness Protection Area.  Billiatt is located within the federal Division of Barker and the state electoral district of Chaffey and the local government area of the District Council of Loxton Waikerie.

Webb Beach, South Australia: Webb Beach is a settlement in South Australia located on the eastern coastline of Gulf St Vincent about 62 km north-northwest of the Adelaide city centre.  At the 2011 census , Webb Beach shared a population of 199 with the larger settlement of Parham which is located to its immediate north.  Webb Beach is located within the federal Division of Wakefield, the state electoral district of Goyder, and the local government area of the Adelaide Plains Council.

Taylorville Station, South Australia: Taylorville Station is a locality in South Australia located about 35 km to the north-west of the town of Renmark and about 250 km northeast of the Adelaide city centre.  The locality was established on 26 April 2013 in respect to “the long established local name.”  Its name is derived from the former pastoral lease of the same name with the addition of the word “Station” to distinguish it from the locality of Taylorville on the north bank of the Murray River 50 km southwest of Taylorville Station.  Taylorville Station is located within the federal divisions of Barker and Grey, the state electoral districts of Chaffey and Stuart, the state’s Murray and Mallee region, the unincorporated area of South Australia and partly in the local government area of the District Council of Loxton Waikerie.  The land use within Taylorville Station is concerned with the following protected area which is also known as Taylorville Station and which has fully occupied its extent since its establishment in 2013.

Joseph Vardon: Joseph Vardon (27 July 1843 – 20 July 1913) was an Australian politician.  Born in Adelaide, he received a primary education before becoming a farm worker and apprentice printer, running his own printing business by 1871.  He sat on Hindmarsh, Unley, and Adelaide City councils, and was President of the South Australian Liberal Union.  He was elected to the Australian Senate as an Anti-Socialist Senator for South Australia in the 1906 Election, but his election was declared void on 31 May 1907.  The South Australian Labor Government attempted to install James O'Loghlin in the vacancy.  Vardon's initial attempts to obtain a fresh election were unsuccessful.  Vardon subsequently succeeded with the High Court declaring O'Loghlin's appointment was void and ordering a supplementary election.  Vardon and O'Loghlin both contested the election, with Vardon winning comfortably with 54% of the vote.  He was defeated in the 1913 Election, by now a member of the Commonwealth Liberal Party.

City of Adelaide: The City of Adelaide is a local government area in the metropolitan area of Adelaide, South Australia.  It covers the original South Adelaide city centre settlement, (also known as the city, the "square mile" and (inaccurately) the CBD), North Adelaide, and the Adelaide Park Lands which surround North Adelaide and the city centre.

Akinyele: Akinyele is a Local Government Area in Oyo State, Nigeria.  It is one of the eleven local governments that make up Ibadan metropolis.  It headquarters are at Moniya.  Akinyele local government area was created in 1976 and it shares boundaries with Afijio Local Government to the north, Lagelu Local Government Area to the east, Ido Local Government Area to the west and Ibadan North Local Government Area to the south.  It occupies a land area of 464.892 square kilometers with a population density of 516 persons per square kilometer.  Using 3.2% growth rate from 2006 census figures, the 2010 estimated population for the Local Government is 239,745.

Shinkafi: Shinkafi is a Local Government Area in the Zamfara State of Nigeria.  Its headquarters are in the town of Shinkafi an area of about 674mk and population of 135,649 (2006 Census).  It shares boundaries with Isa Local Government Area (Sokoto State) and Niger Republic from the north, Zurmi Local Government Area to the South and South-East, Maradun Local Government Area and Raba Local Government Area (Sokoto State) by the west.  Distance from the State Capital, Gusau is approximately 116 km.

City of Unley: The City of Unley, is a local government area in the Adelaide metropolitan region.  It is located directly south of the Adelaide city centre.

Shepherds Hill Recreation Park: Shepherds Hill Recreation Park is a protected area located about 9 km south of the Adelaide city centre in the local government area known as the City of Mitcham.  The recreation park was proclaimed under the "National Parks and Wildlife Act 1972" in 1972 for a parcel of land formerly known as St Marys Reserve and which was acquired by the Government of South Australia in 1953 as "public open-space for recreation purposes" and "managed by the South Australian Government Tourist Bureau as a dedicated National Pleasure Resort from 1955 until 1972".  The recreation park is classified as an IUCN Category III protected area.

Supporting paragraphs: Joseph Vardon City of Unley
Answer: City of Unley