Did other missions have this special thing that mission Santa Cruz had?

The Mission Santa Cruz is unique among the California missions in that it has a relic of the True Cross, a fragment of the wooden cross on which Jesus Christ was crucified. This relic is housed in a special silver reliquary and is displayed in the mission's chapel. The True Cross is a highly venerated relic in the Catholic Church, and pilgrims have been flocking to Mission Santa Cruz to see it for centuries.