Many pillow basalts form in deep waters where sea-floor spreading occurs.
Pencil at the center of the picture for scale. This is the Giddings Brook Thrust at Bald Mountain, near Saratoga. Although this picture is a bit obscured by the vegetation, here we see Cambrian slates over-riding Ordovician limestone. This thrusting is a result of the Taconic Orogeny during the Ordovician period. Though not seen in this picture, this limestone is also sitting atop younger rocks.