There are two emerging shoots in the picture that look like lady's slippers.
As for growing them, they aren't difficult to grow if you can provide conditions similar to what they prefer in the wild (deciduous shade, humus rich soil, etc.). The biggest problem with growing native orchids is the moral aspects, if you will. Many nurseries sell "container grown" orchids, but the plants were dug up in the wild and just stuck in a pot for a little while. It's a despicable practice, frankly. But, if you can find a nursery that propagates them responsibly and you have the right conditions, they are wonderful plants to have in your yard.