Are peppercorns what grind in pepper mill?

You can eat "Schinus molle", berries of the California or Peruvian Peppertree. Also called: American pepper, Peruvian peppertree, escobilla, false pepper, molle del Peru, pepper tree,peppercorn tree, Californian pepper tree, pirul and Peruvian mastic.

It may be best to avoid the similar fruit from the Schinus terebinthifolius. Other names for Schinus terebinthifolius are: Brazilian pepper, Florida holly, Christmas berry, pepper tree
Family: Anacardiaceae (cashew, sumac, poison ivy, mango). A ban has been placed on importing pink pepper corns from France because their source, the baies rose plant, may be a Schinus terebinthifolius.

Neither pepper plant produces a true pepper.