Linda, all parts of eucalyptus (Eucalyptus globulus) contain an essential oil known as eucalyptol. Essential oils can cause vomiting, diarrhea and central nervous system depression if ingested in large enough amounts.
Unfortunately, there is not a great deal information pertaining to pepper berry (Schinus terebinthifolius) and its toxic potential. However, the entire plant is known to contain a volatile resin that can cause skin and gastrointestinal irritation.
Based on this information, we would advise not to allow your pets to have access to either of these plants.