How many horses can you have on petz horse club

You have Altai, Oscar, Caramel, then you get to choose 1 wild horse and ring it to the paddock. There is a secret white stallion named Adonis. You have to beat ALL the bonus games including 2 player and win ALL the gold trophies to unlock him. If you do unlock him, he should be in the redwood forest where Nala, Sally, and Cinnamon are.