Can you tell me what the names of these flowers are please?
The flower on your picture is Purple passion flower (Passiflora incarnate).
Passiflora incarnata is a rapid-growing, tendril-climbing vine which is woody in warm winter climates and herbaceous (dies to the ground) in cold winter climates.
For more information and references:
Health benefits: http://www.umm.edu/health/medical/altmed/herb/passionflower