Luna is the pet of the Old Wizard. Her odd coloring, which is none of the usual colors, was given to her by the Wizard so he could distinguish which was his pet. The Lunatike may be one of her puppies but it's not confirmed.
Luna is said to be the first Kumos. She was created from the Night Sky and the Old Wizard marked her with the crescent moon to symbolize the bond her species now shares with their owners. This has earned Luna the affectionate title of "Mother", as she is long-believed to be the immortal mother of all kumos.