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I don't think you're allowed to pick English bluebells now, they're protected, but the nasty Spaniards you can do what you like with.
I overspoke, there were only 4 million of them in the wood. It only opens one day a year; they try to time it for the bluebells but they've had to move it from May to April as they bloom earlier, and they said they were past their best today, so they're thinking of moving it forward another week. I don't know, I think this was an unusually mild winter that brought them out; it might not happen again.