There are two levels to Gothering:
Level 1, or “job well done”: Change the name of the pet and convince the owner to call the pet by their new name, but owner remembers that the name came from someone else. They are aware of being Gothard and know that they did not come up with the name themselves.
Level 2, or “Inception”: Change the name of the pet and influence the owner to call the pet by a new name, but leave the owner fully convinced that they came up with the name and that is what the pet has always gone by. This is the highest level of Gothering and has only been achieved once by Jesus Christ himself. It was attempted again by Voldemort in the early 1980's but was deemed too difficult.