I thnk you've got it Chrissie
Heres a page with a close up photo of the flowers, per your ID:
http://www.bethchatto.co.uk/plant%20portraits%20z/zauschneria%20californica%20'dublin'.jpgAs I recall, the foliage was very distinctive.
The second one sure does look like a Pulsatilla, but it had me in doubt about its flowering time.
Thanks for clearing that up.
I had a feeling it might have been an Anemone.
Thanks for your help! Very much appreciated. I've a "few" more photos to be ID'd so that should keep us occupied for a while yet.