Astragalus canadensis, a legume native to many counties in Western NC (including Rockingham County).
I was weeding, and pulled up a big clump of grass, which revealed the below-ground structure of the astragalus. I guess this could be called a stolon? Or maybe an underground runner? I’ve read that legumes do not respond well to division, but I’m tempted to clip off one of the “suckers” from the “stolon” to propagate the plant.