After closely looking at the 1914 map of the London Underground yesterday, I couldn't resist selecting its predecessor, the beautiful 1913 map, for my next eBay auction.

This pre-war pinnacle in railway cartography represented a big leap forward in the evolution of the London Underground map. When Albert Stanley joined the London Underground Group of companies in 1907, he began the process of creating and selling the 'UndergrounD' brand. New, improved maps of the underground railway network were an important element in that process.
So what was wrong with the old style of railway maps? Essentially, they were tolerable for the widely spread out mainline rail services, but hard to read in dense, highly connected areas such as central London. You can see some dense knots of mainline lines in the base map of this 1913 edition, such as here:

You can trace which line is which if you follow the geometry of the curving lines carefully with your eye. But trying to decipher this monochromatic style in central London just doesn't work. With all lines looking the same, you can't tell which line is which when the lines attain a certain level of density and interconnection.
The idea of differentiating the lines in at least some way can be seen in the District Railway's maps from about early 1890s, when the first deep tube lines opened. Following the development of tunnelling technology from sub-surface cut-and-cover to deep tubes, London saw the opening of The City & South London Railway on 18th December 1890 (now part of the Northern Line), and the Waterloo & City Tube on 8th August 1898. Here is a detail from a 1898 District Railway map:

What we see in this detail are: first, the mainline railways (thick blue lines); next, the subsurface Underground lines - both Metropolitan and District (thick red lines); and then they have added as a thin blue line with round as opposed to rectangular station symbols the deep Tubes.
By the way, in this particular map, we can see the deep tube of the City & South London Railway (CSLR) crossing under the Thames to its terminus in the King William Street Station (unnamed on the map), alongside the Monument Station on the District Railway. And, running a few hundred yards to the east of it is the new cut of the CSLR, which sweeps past Monument Station and terminates at Bank Station. This is shown as another thin blue line, of course, but broken to indicate it was under construction. The old cut was abandoned at the close of business on 24th February 1900, and King Wiliam Street Station became one of London's ghost stations. (For many decades, there was talk of reopening it, which idea was finally scotched when the extension of the Jubilee Line was built right through it, bisecting the ghost tunnel.)
Anyway, my point in this digression is to show that, even before Stanley's cartographic big bang of 1908, London's map-makers had acquired the concept of using different graphical styles to differentiate underground railways.
Now, what happened in 1908 was that each Underground line was assigned a colour and the non-Underground lines either disappeared from the map or were shown in subdued hues. In the 1913 map, they are pallid beige lines in the background. Here's the 1913 colour key:

and here's a detail showing how the coloured lines looked in central London:

The importance of this conceptual leap cannot be under-estimated, as it was one of the strands that were brought together in forming the network concept of 'London' -- when the city itself was exploding into a monstrous sprawling conurbation that swallowed up surrounding villages. The city of London was placed amid a dense network of railway lines that spread continuously out from the centre. Where in that continuum was a Londoner to draw a boundary to London? It was Albert Stanley who drew the boundary for the rail commuters by creating and promoting the branding of the London 'UndergrounD' and semiotically exporting this brand through maps, signage, and carriage livery.
On the ground, the boundary was not so well-defined. Overground railway companies ran inter-city and regional commuter services deep into the heart of London, and yet they were not included in the "UndergrounD" brand and were dropped from, or subdued in, the maps. Some decades later, Ken Livingstone forced London Transport to include the North London Link on the Tube Map, but that was an exceptional and bitterly resented aberration. The long-lasting purity of the Underground map -- the principle that it should show only Underground lines -- was like an article of faith, and it had its genesis in Stanley's cartographic revolution of 1908.
Nevertheless, material reality does intrude, and we see it doing so in the following detail from the 1913 map, showing the extension of the Bakerloo Line.

The electrified deep-tunnel Bakerloo line was being extended north-westwards via the important mainline interchange at Paddington toward the nascent suburban commuter lands to the north-west of London. What we see is a broken line from Edgware Road to Queens Park, and then -- and this is the intriguing bit -- a skinny brown line continues north-eastwards from Queens Park and off the map towards Watford.
What on earth is this? And how is the humble passenger supposed to decode this part of the map? The answer has to do with the venerable London and North Western Railway (LNWR), which had many decades earlier opened the world's first passenger railway service -- between Liverpool and Manchester (in its previous incarnation as the Liverpool & Manchester Railway). (By the way, check out Simon Garfield's excellent book "The Last Journey of William Huskisson" for an insight into the momentous opening of that first passenger railway.)
The LNWR as such was incorporated in 1846 and expanded to serve the great industrial cities of England -- Birmingham, Leeds, Liverpool, Manchester ... and of course London, where its terminus was at Euston Station. But the LNWR's lines swept through the upcoming commuter lands of north-west London. To exploit this potential, the LNWR initiated, in 1909, a massive project to build additional tracks alongside the existing lines (to allow slow commuter services in parallel with inter-city expresses), to electrify its suburban lines, to build more stations within the commuter belt, and ... to create a link with the Bakerloo Line at Queens Park, so that Bakerloo train services could travel on LNWR tracks as far north as Watford -- thereby giving passengers from LNWR stations seamless connections into the underground system of central London.
The Bakerloo extension shown in this map was a long time coming into reality.
After Edgware Road opened as a temporary terminus of the Bakerloo Line in 1907, there was a hiatus before the line was extended to Paddington, owing in part to a dispute over money. (The single-stop segment from Edgware to Paddington was held up as the Bakerloo Railway Company and the Great Western Railway -- the main users of the Paddington mainline terminus -- tried to bluff each other into stumping up the money to build the extension of the Tube.) But work started in October 1912, and that initial segment opened in December 1913. (So, this map was issued while that first segment was actively being built.) The further extension of the Bakerloo from Paddington northwards to Queens Park was then delayed by the war-time shortage of labour. It eventually opened on 11th February 1915. A few months later, on 10th May 1915, Bakerloo trains started running on LNWR's tracks -- initially only as far as Willesden Junction, but reaching Watford in 1917.
The Bakerloo thus became the first "UndergrounD" Tube train service to be physically connected with a mainline network. This presented a challenge to the conceptual isolation of the "UndergrounD" brand. (By the way, although these were the first deep level Tube trains to transgress into the mainline network, transgressive sub-surface trains had done this some decades earlier, when the Metropolitan Railway ran underground trains to the town of Windsor, via Ealing Broadway, between 1883 and 1885.)
What we see in this map is the cartographer trying to deal with this transgression of the conceptual boundary of the Underground -- trying to stop the 'brand leakage' as we might say. His unsatisfactory response to this problem was the skinny brown line to the north-west of Queens Park, denoting the 'new cut' line of the LNWR, which by June 1913 physically existed (hence the map-maker could not drawn it as a broken line, as he had for the extension from Edgware Road to Queens Park). But he nevertheless needed to indicate somehow that this line was not open to Bakerloo passengers, as it was not yet electrified and anyway the Bakerloo trains could not reach it yet. His solution, which is not explained in the key, was to draw a skinny brown line. It looks like the Bakerloo line, and yet is visibly different.
Needless to say, this was not a very good design decision. Subsequent cartographers had a more robust approach to policing the boundaries of the Underground: active "UndergrounD" lines were shown in solid colours; and "UndergrounD" lines that were proposed, under construction, or temporarily close, were shown as broken lines -- irrespective of whose tracks they ran on. Overground services, when they occasionally transgressed onto the "UndergrounD" map, were shown as colourless lines.