Legal Expert on Status of Non-Party Living Entities in Contracts

Is there a legal term for living entities (not parties) a contract covers? (Note: this is for an article I'm writing, not for any legal issue I'm trying to address. This is not my area, so please excuse any stupid questions &/or confusing phrasing!) I'm trying to find out if there is a legal term that identifies living entities which/whom are refered to in a contract, that are not parties to the contract itself. Not sure if these would fall under the same categories but e.g. If you've entered into a contract for a service to stable your horse, or walk your dog, or a caregiver to provide homecare for your grandmother. The contracted service would be the caregiving to be provided (I assume), but what would be the status of the living entities being cared for? Is there a legal term &/or status for them? Would the 'thing' being cared for (horse, dog, grandmother) have the same status under contract law, or is there a separate consideration (for human vs. non-human living entity) which is legally relevant to contract law, even if not included in the contract itself? If the legal status of human vs. living non-human is relevant, are there separate terms for them (again, under contract law). Following from that, is their well-being implied in a contract which refers to them, or not covered unless it's specifically referenced in the contract itself?