Thanks for all the comments ... we've just had 2 uninterrupted nights sleep in a row so we might have cracked it! Until the next thing ...
I've made sure we have a bigger gap between solids and milk and tried feeding her in her room away from any distractions, and I think she's getting more daytime milk as a result. And that seems to have done the trick.
Hope that something similar works for the others who have started NWs, too.
Am so proud of her ... we've had people for lunch yesterday and today, and both days she has sat at the table happily feeding herself whilst I've had a civilised, grown-up mealtime. In fact, she's eaten more than ever at both those meals ... Almost as if she's showing off a bit! I wonder if she knows that these wouldn't have been good meals to do her 'chew it ... spit it out ... rub it in mummy's hair' routine. She saves that till we are on our own!!
We, too, have constipation problems. Suspect it is because she has been having firm fruit for ease of holding, rather than ultra-ripe stuff, so will make sure she gets some squishier things tonight and tomorrow.