This is called Large Twayblade. It's a member of the orchid family. I'm not terribly familiar with orchids, but when I saw the flowers, I thought they were reminiscent of orchids, so I was glad to see my hunch was right.
As you can see, this is not exactly a stand-out flower. No eye-popping color. Very low to the ground, mixing right in with the grass growing around it. I consider it a lucky sighting!
The flowers are very different-looking. They have kind of a waxy look to them, and you can see they are also a little translucent. They remind me of the webbed foot of a duck. The flowers themselves are probably only about 1" long.
I spent a long time with this flower, photographing it from many different angles, trying to capture its essence and beauty. However, I don't think you want to see 4o more pictures of it!
Another close-to-the ground flower, this is Common Speedwell. This is even more dainty than the Twayblade, with the flowers being only about 1/4".
It reminds me of Ground Ivy in its habit. My specimens seem to only be about 4 or 5" tall, but apparently they can get as tall as 18" (soil quality is a determining factor... I'd say clay and silt aren't conducive to tall growth).
What it lacks in size it makes up for in quantity. We have quite a few sizable patches of it growing in the more "waste areas" of the property (i.e. around the driveway).
This is a flower I'm still trying to get an ID on. Also very tiny flowers, maybe 1/2". Possibly 5 or 6" tall.