Native Treasure, who rallied to win Sunday's fourth race for $20,000 claimers, was taken in a three-way shake by trainer William E. Morey.
Native Treasure has been claimed four times in his last six starts since April.
Two other runners were claimed. Holdthismiss, who finished fourth, was claimed by Ian Kruljac. Tasunke Witco, who finished fifth in his California debut as the 3-2 favorite, was claimed in a 16-way shake by trainer Jack Carava.
Tasunke Witco previously raced in New York and has been claimed in four of his last six starts.