In chapter 1, Jones owns the farm. However, Jones is a fall-down drunk and is failing to manage his farm at maximum efficiency. In chapter 2, it is difficult for a reader to say that Jones still has ownership/control of the farm, because of the initial rebellion the animals begin.
The incidental problem is his drinking - something we see at the end of the book becoming his ultimate downfall. This all becomes circumstantial because of the eventual fate of the farm.
His big problem, however, is the philosophical manifesto that Old Major puts forth, which gives the animals permission to believe that they can run their own lives and live in prosperity if they work together to achieve it.
However, Jones' character and his inability to keep control of his farm is but one more metaphor for what eventually happens with the farm. It's that one thing we never anticipate that will sneak up behind us and take control...
Selfishness and greed can be very, very ugly.
When Animal Farm begins, the farm is not called Animal Farm but Manor farm and is a traditionally run farm. Jones, the owner, however abuses his animals. The animals, with Old Major's guidance, dream of a better place where they can run the farm according to their own rules and for the good of all the animals:
It is a society without tyranny, where all animals are “comrades,” equal in every respect.
Old Major is a respected "prize Middle White boar" and he has given the animals a vision of what could be if they stand up against Jones. He inspires the animals by teaching then "Beasts of England" which will become their rallying cry during the Rebellion which will follow.
Jones is neglectful and even forgets to feed them. He drinks heavily and gives the animals the opportunity they've been waiting for, to rebel against his oppressive treatment of them. The animals become uncontrollable, break into the farmhouse and drive Jones and his workers from the farm, and in the process "destroy all of the symbols of Jones’s control over them."