I'm not sure if my parents had animals growing up. But I do know my mom's mom always had a cat or two around. And my dad's mom had dogs. The two I remember were Bandit the pug and Benny the poodle.
But I ALWAYS had animals growing up. We had cows, pigs, horses, chickens, turkeys, dogs, cats, bunnies, goats (for a short time) and my sister had a bird for some years. Of course we always had a goldfish for a few months after the local fair came through town.
Most of the cows, pigs and chickens we had butchered and filled our freezers. (sorry) We never named the ones we knew would be food eventually. Of course we had the ones we did name and those remained pets.