My principal memory of Broad Street is a blank circle squeezing apologetically into a corner on the Underground map next to Liverpool Street with a blank line connected to it...
Infuriatingly I can't correctly remember whether I ever actually went there or not. I can remember definitely that I spent part of a day going round London visiting termini I never normally had cause to visit, but I can't remember exactly when it was or how it was I could have come to be there with the time to do it. I remember going to Liverpool Street and it makes sense to think I would have done Broad Street at the same time but I don't remember whether I did or not. I remember a great empty falling-to-bits barn of a place with a single platform protruding forlornly into the wasteland outside, which would have been correct for the period, but I can't tell if it's a real memory or one I have synthesised from looking at photos once the internet happened.
Similarly I can remember heading east along the North London line (track-bashing) and marvelling at the flipping state of some of the stations and what kind of a wreck a fully functioning railway line can nevertheless manage to look like, but I can't remember where I was going to or where I got off. It was at a time when you still could go to Broad Street, but my memory stops short at Dalston, and I only know that I certainly didn't get off there.
As for street lighting I remember it coming on at dusk and going off about midnight or thereabouts. It didn't come on again in the early morning, though it would have been possible: the lights were timed by these beautifully elaborate time switches (of which I had an example), one in each lamp post, with automatically-wound clockwork backup for mains failure and a pair of cams, a morning one and an evening one, which went round once a year and could be used to automatically adjust the switching time settings as the hours of daylight varied. It would have been possible to do the evening-and-morning-only thing by controlling both switching times off the cams and then cutting the power from a central timer between say midnight and 6am, using the clockwork to carry it through, or by having a couple of extra stops to provide additional fixed off and on times in the middle of the night, but most places I remember only the evening on time was automatically varied and the off time was fixed at midnight or so. On again in the morning would have been for swarming piles like London but not for normal places. Naturally, there was plenty of scope in this arrangement for individual timers to get out of whack and turn the lights on at silly times...
The on-all-night thing became a lot more common when they started to move from time switches in the lamp post to daylight sensors on top of the luminaire. Highly magenta, and they didn't seem any less prone to failure than the time switches either.
My street still had concrete posts with SOX lamps until just a few years ago, but then they came round and chopped them all down and replaced them with tubular galvanised steel posts and SONs, for no reason at all. Completely pointless waste of resources to replace a remarkably efficient light source with a less efficient one. But that's councils for you; ours already thinks nineteen million is less than five hundred thousand, so you can't expect them to come up with sensible figures for something complicated like street lighting.