Identifying a Creeping White-Flowered Plant for a Rock Wall

To identify the plant that cascaded over your rock wall with small white carnation-like flowers, I need more details:

• Overall size/spread?
• Leaf shape, texture, color?
• Stem type (woody, herbaceous, wiry)?
• Growth habit (mat-forming, trailing, mounding)?
• Winter behavior (die back to ground, stay evergreen)?

With this information, I can suggest candidates (e.g., Cerastium, Dianthus, Phlox subulata, Saponaria) and confirm color variations. Please reply with a description.