Wanted: Ladies commuter bike for 5'9 (1.80 m) rider (London)

Hey,

Looking for a decent, simple and in good (rideable without issues and serviced) condition bicycle for a 5'9 (1.8 m) lady rider. Budget is not an issue, but looking not more above 300 GBP tops. Nothing complex, 3-speed Sachs or Shimano internal rear would be great! Frame type is preferably something like mixte or any other not really heavy ladies frame. Should be with 28" wheels, eyelets for mudguards and racks, slightly higher or adjustable stem for upright casual riding position.
The bike should be simple, yet reliable, that means tyres, braking surface, brake pads, bearings etc. must be in good condition.

Test ride and pick-up from London area and around.
Waiting for offers - PM!
Thanks :)

Sorry, don't have the bike you are after, but 5'9" is 175cm

I've got this Falcon available: http://tinyurl.com/y6sfsntw
Frame is Reynolds 531, powder coated, bike is very light, has a modern Sturmey 3spd with coaster rear brake, though that could be changed to another calliper if preferred. I built it for a guy with mobility issues whose health has deteriorated so he has asked me to sell it on. Cost twice your budget originally, light use only. To get it down to £300 I would swap out the Brooks for something less fancy and also change the bars (probably to risers but some flexibility on bar choice). Mudguards included. Viewing/test ride welcome, I'm in SE1 near Waterloo.

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I've got a project Raleigh that would suit. I've got a rack kicking about too.