Question:  Runcorn signal box is located at the south end of the station managed by which company?

full_context: Document 1: Lostwithiel signal box: Lostwithiel signal box is a Grade II listed former Great Western Railway signal box, located on Lostwithiel railway station in Cornwall, England. The signal box is situated at the northern end of Platform 1, adjacent to the level crossing.
Document 2: Ravenglass (R&amp;ER) railway station: Ravenglass Heritage Railway Station is the Western terminus of the Ravenglass and Eskdale Railway. It is situated to the east of main line railway station, which is itself a station on the Cumbrian Coast Line. The facilities at the railway station include toilets, under-cover platforms, booking office and café. The railway station complex incorporates 2 locomotive sheds, a carriage shed, a signal box, managerial offices and 2 camping coaches; along with the railway station itself.
Document 3: Carnforth railway station: Carnforth railway station serves the town of Carnforth in Lancashire, England. The building was designed by architect William Tite and was used as a location in the 1945 film "Brief Encounter". It is now operated by Northern and situated 6 mi north of on the West Coast Main Line.
Document 4: West Coast Main Line: The West Coast Main Line (WCML) is one of the most important railway corridors in the United Kingdom, connecting the major cities of London, Birmingham, Glasgow, Liverpool and Manchester. It is one of the busiest mixed-traffic railway routes in Europe, carrying a mixture of intercity rail, regional rail, commuter rail and rail freight traffic. The core route of the WCML runs from London to Glasgow, with branches diverging to Birmingham, Manchester and Liverpool, totalling a route mileage of 700 mi . Services from London to North Wales and Edinburgh also run via the WCML; however the main London-Edinburgh route is the East Coast Main Line. In addition, several sections of the WCML form part of the suburban railway systems in London, Birmingham, Manchester and Glasgow, with many more smaller commuter stations, as well as providing links to more rural towns.
Document 5: St Helens and Runcorn Gap Railway: St Helens and Runcorn Gap Railway, later known as St Helens Railway, was an early railway company in Lancashire, England, which opened in 1833. It ran originally from the town of St Helens to the area which would later develop into the town of Widnes. Branches were opened to Garston, Warrington and Rainford. The company was taken over by the London and North Western Railway in 1864. The line from St Helens to Widnes and the branch to Rainford are now closed, the latter terminating at the Pilkington Glass' Cowley Hill works siding near Gerard's Bridge, but part of the lines to Garston and to Warrington are still in operation.
Document 6: Liverpool Lime Street railway station: Liverpool Lime Street is a terminus railway station, and the main station serving the city centre of Liverpool. Opened in August 1836, it is the oldest grand terminus mainline station still in use in the world. A large building constructed in the Renaissance Revival style fronts the station. A branch of the West Coast Main Line from London Euston terminates at the station, as well as TransPennine Express trains and other train services. The underground Lime Street Wirral Line station on the Merseyrail network is accessed via the main terminus. Lime Street is the largest and oldest railway station in Liverpool, and is one of 18 stations managed by Network Rail.
Document 7: Liverpool–Manchester lines: There were once four direct railway routes between Liverpool and Manchester in the North West of England. There are now only two remaining direct railway routes between the two cities. One line, the now northern route, is fully electric and the other, the southern route, is a diesel only line. A third line which is further north has been split with the western section electric and the eastern section diesel operation, requiring a passenger change between the two cities. The fourth route, the most southerly, is largely abandoned east of Warrington with the remaining section mostly catering for freight trains. The remaining two direct routes are:
Document 8: War Department Halt railway station: The War Department halt was an informal railway station on the Romney, Hythe and Dymchurch Railway in Kent, England. Over the 15 years that the station was open, its location is believed to have moved several times. Details are scarce as this was a secret military installation, but the end of the War Department branch line moved as building work (see below) moved onto new stages. When the installation closed in 1945 the railway company took over the line for freight shipment of ballast. Again, the end point of the line changed several times as the exact location of extraction of ballast changed, until closure of the branch in 1951. The locations of the halt are now under water owing to subsequent commercial extractions and flooding of the ballast pits.
Document 9: Crewe North Junction signal box: Crewe North Junction signal box is signal box with a Westinghouse All Electric Style 'L' lever frame which was commissioned, along with Crewe South Junction signal box (which also had a Westinghouse Style 'L' frame), on 29 March 1940 as part of a resignalling project at Crewe railway station. It saw continued use until 19 July 1985 when it was decommissioned for a redesign of Crewe station and its track layout and signalling.
Document 10: Runcorn War Memorial: Runcorn War Memorial was built to commemorate the servicemen of Runcorn lost in active service in the First World War. It was unveiled in 1920, and the names of those lost in the Second World War and subsequently were added later. The memorial stands in a small garden by a road junction in Runcorn, Cheshire, England, and consists of a Latin cross in white granite on a plinth and steps. Behind the cross is a wall containing plaques with inscriptions and the names of those who died. An inscribed stone has been added later with the names of those lost in subsequent conflicts. The war memorial is recorded in the National Heritage List for England as a designated Grade II listed building.
Document 11: Buckshaw Parkway railway station: Buckshaw Parkway is a British railway station which opened on 3 October 2011 on the Manchester to Preston Line, near Euxton Junction with the West Coast Main Line. It is one of Euxton's two railway stations being in Buckshaw Village, formerly the Royal Ordnance Factory (ROF Chorley) between Chorley and Leyland. It is on the site of the four-platform Chorley ROF Halt, which was closed around 1942; this prior station remained virtually intact until the 1970s, but was finally cleared in the early 2000s.
Document 12: Runcorn signal box: Runcorn signal box is a railway control building sited at the south end of Runcorn railway station in Cheshire, England. It is located to the west of the West Coast Main Line and the branch line to Folly Lane. The signal box is recorded in the National Heritage List for England as a designated Grade II listed building. It was built by the London, Midland and Scottish Railway (LMS) in the early years of the Second World War incorporating the specifications of the Air Raid Precautions (ARP), and was one of the first of such signal boxes to be operational.
Document 13: Doncaster railway station: Doncaster railway station serves the town of Doncaster, in South Yorkshire, England. It is situated on the East Coast Main Line 156 mi north of London King's Cross and managed by Virgin Trains East Coast. It is a major passenger interchange between the East Coast Main Line and Cross Country Route and local services running across the North of England. It is also the point for which Virgin Trains East Coast services from London divide, either branching off to Leeds or continuing north to Scotland via Newcastle and the North East.
Document 14: Runcorn railway station: Runcorn railway station is in the town of Runcorn in Cheshire, north-west England. The station lies on the Liverpool branch of the West Coast Main Line between Weaver Junction and Liverpool South Parkway and is managed by Virgin Trains.
Document 15: Hest Bank North Junction: Hest Bank North Junction is a railway junction in Lancashire, England, where the Morecambe Branch Line joins the former London and North Western Railway (LNWR) line (now the West Coast Main Line (WCML)) in the down direction between Lancaster and Carnforth. It is also known as Morecambe North Junction. This line is currently being considered to become a community railway. Hest Bank railway station was situated here until its closure on 3 February 1969. Little trace of the old station remains, the platforms having been demolished prior to the electrification of the line in 1973. It is also the only location on the entire 401 mile (643 km) WCML where the coastline and Irish Sea is visible from the railway.
ground_truth: Virgin Trains