Remove the greens from the turnips. Keep the greens in a plastic bag for a later date. Cut onion and round turnips in half. Keep them large, so they don't fall through the grill.
Lightly brush all vegetables with olive oil. Put on the grill and flip every 5 to 8 minutes to allow for dark grill marks, or until cooked to desired texture.
Chop full bunch of parsley and all grilled ingredients roughly. Toss in the desired amount of olive oil. We did a quarter of a cup. Squeeze the juice of half of a lemon and toss with salt and pepper. Voila!