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Sorry, I should have been more specific, but in the second photo it's not the sea lavender, but the plant growing up through the flower heads.
If it is not the small flowers but the leaves growing through then I am inclined to agree that this is Sea Aster - a plant that is prolific in my area.
Lat/Lng: 50.688691666667, -2.0271858333333
OS grid ref: SY981876