Yes, he gets a boring name, so sad, too bad. He's Moss and Sun's biological father.
(his eyes shine purple in certain lighting, which is true for a good bit of albino cats)
He was born in the sprawling cave system, much like the rest of Cave'clan, but no one knows who his real parents were. There's no way to guess as his fur is ethereal white. Despite the abandonment he still stays as vibrant as his fur, growing to be a center of the group's community.
With this likeability came the likelihood of becoming the next deputy and/or leader, but he shot down the idea to let Bat'bristle have a chance. He loved Echo'gaze and if he were to have been with his kits, he would've loved every fur fiber on their bodies.
In Starclan, he sits, playing and training his lost kit, Shell'kit.