Have you read the last paragraph? The Five Animals
"Sometimes the Old Man appears or travels with one of five animals. They do not have unique names, and he addresses them merely as Turtle, Monkey, Ox, Rooster, and Pig. They obey him as any well-trained animal might obey its owner, though they can be temperamental and sometimes refuse to follow commands. They do not appear to be more intelligent than common animals or have any unusual powers (nothing that couldn't be taught with conventional training using the Handle Animal skill), though they immediately vanish if attacked. The animals may actually be detailed, lifelike projections of animals from the Old Man's mind or perhaps something like a summoner's eidolon, used to present himself as a common man or provide lessons on patience and kindness, but he treats them as if they were individual living creatures he has known for a long time. There may be a secret significance to which animal he brings with him for a particular task (other than the obvious, such as using Ox to pull a plough, which of course Rooster cannot do), but his followers have been unable to spot a pattern in these choices."
So maybe Summoner would be suitable or Beastmaster Ranger for more Animal Companions.