This is Slender Speedwell,Veronica filiformis. The flowers are long stalked, often with one white petal. The leaves are opposite, rounded, and have slightly toothed or wavy margins. The leaves remind me of the mint Gill-over-the-Ground. This is a delicate species that usually loses its flowers when handled.
The more I examine these, the more I'm changing my mind. These look more like the white form of Red Trillium. The distinguishing factor is suppose to be the dark red ovary found on erectum. But look at the color variation in the center of these three. I am leaning towards sticking with Red Trillium, and I welcome comments from anyone who sees any other key features.
All of those thrushes pass through here. Hermits usually keep going to Canada, but have been known to nest here in these Hemlock forests. Hermit Thrushes have even been seen here on Christmas Bird Counts in December.