I took this photo at the same time as that of the Pyramidal Orchid (early June), but had no idea what it was.
I’d been meaning to ask for advice, and then yesterday came across the same flower on the Kingsdowner website (thanks Steve).
It’s as weird as I thought it was. It grows amongst long grasses (mine was in the verge beside the A27) and looks like grass. But it’s not a grass, and produces a delicate, pea-like flower, that hangs amidst the greenery almost as if by magic.
Apparently they’re less common in recent years, but I’m looking forward to finding more of them.