sorry too late but for future reference for daytime I like:
The White Swan in Twickenahm http://www.whiteswantwickenham.co.uk/ not the same as the Richmond one above, I love it
The barmy arms is also good if it’s a nice day
In Richmond I like the sun inn round the back because it’s a bit more chilled out than all the other richmond pubs, you sacrifice a view of the river or green (which are both lovely) for the more chilled out atmosphere BUT you do get a view of the adult community college which I think is actually a very beautiful building