There are a couple ways to handle things like this. One would be to add a second key pair (pet fk=pet fk AND owner fk = owner FK) to the join relationship assuming pet owner fK could appear I the service given table. One could also use a third join table (pet_service table join), though this requires other compromises.
Thanks Deninger. I figured something else out. Using a script which included two unique fields within the Services Given table, I serached the Pets table for the PK value of each pet – copied that value and pasted it into a new empty field [NewFK] withing the Services Given table. After this was complete I was able to correct the relationship link and everything works fine now. Thanks again.