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Thank you, that's really helpful. Bike has chrome rims so braking definitely a concern, although mum+baby embarrassingly probably weigh less than just me.
The other option is to lend her the supershopper which has upgraded rims and brakes, but I have a feeling I cut the seat post for my height and she's a bit taller.
I'll show her what I have and talk through the things to consider.
I've put a Yepp Maxi on my Shopper with each of my three girls (seatpost mount on a basic kalloy post). As psg1ben says, braking is worse - even with less flexy, uprated brakes (Odyssey 2000 BMX ones + alloy rims, not chrome) and the balance takes getting used to, as the centre of mass the child is on or behind the rear axle - but I have 16st mass worth of inertia, so it's not so bad. Will try to dig out a pic. Worth noting that the kickstand won't hold the bike up with a child in the seat...
Also ran a tag-along for a while with no incident (all the hinges...):
Tl:Dr - it's fine, but not for everyone