This shrub or little tree is about 7 feet tall, in Zone 7A, and in June it's covered in clusters of small white blossoms. The leaves look somewhat like dogwood leaves, but I don't think it's actually a dogwood. It resides along with hostas and other plants in a densely-shaded and somewhat overgrown area.
Hope the pictures help! Thanks.
Again, thanks to any who can help ID this.