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32 Westbourne Terrace, Paddington and Baker Street Station.
1853 The Metropolitan Railway was incorporated in 1853 as the North Metropolitan Railway and was re-incorporated on 7 August 1854 as a mixed-gauge line.
1860 February. Construction began with John Fowler as the building engineer and Thomas Marr Johnson as resident engineer. The construction was by Smith, Knight and Co and John Jay. This caused massive traffic disruption in north London: during the work the Fleet Sewer burst into the diggings and flooded the partly-built tunnel.
1863 January 10th. Opened a 3.75 mile section from a junction with the Great Western Railway (GWR) main line at Bishops Road, Paddington to Victoria Street (later Farringdon Street) in the City of London. A plaque commemorating the opening is at street level outside Baker Street station on the north side of Marylebone Road. From opening the line was worked for six months by the GWR with broad-gauge rolling stock. These, designed by Daniel Gooch were probably amongst the most ungainly and clumsy locomotives of their day. Unlike those of other Great Western Railway broad gauge engines, the cylinders were outside, and owing to the width of the gauge, were spaced at about 8ft 2.5in centres. 
1863 In August, after massive disagreement between the two companies, the Metropolitan Railway found itself having to work the line, and provide standard gauge rolling stock, at six months’ notice. With assistance from the Great Northern Railway this was achieved
1869 the broad gauge was removed.
1875 See 1875 Number of Locomotives
1888 See Locomotive Stock June 1888
By the turn of the century the Metropolitan Railway had its foot in both the main-line and the underground system in London.
1900 Tender issued by the Metropolitan Underground Railway Co for electrification of over 50 miles of track but the Metropolitan Railway favoured an A.C. system using overhead distribution at 3kV, whilst the District Railway Co favoured a D.C. system using a third rail at 500V. A tribunal was set up to decide which system should be used. The recommendation was for the D.C. system.
1905 the first electric trains ran on the Metropolitan Railway system.
1908 The company owns 69 miles of line, and jointly with others, another 2 miles. A portion of the undertaking has been worked by electricity since 1906. 
1913 Acquired the Great Northern and City Railway
1933 A public corporation called the London Passenger Transport Board (LPTB) was created. The London municipal and independent bus and tram undertakings, including the Metropolitan Railway, were absorbed into the LPTB.
The Metropolitan Line is now administered by Transport for London
A series of articles of the History of the Metropolitan Railway were published in The Engineer in 1895.
Read them on Grace's Guide at the links below;