I have pulled many bearings by using a good size nail and pound it headfirst down the inner bore to push the inner bore of the bearing below the one I can see. Just make sure the outer bore is well supported. I sometimes have to grind the head so it is like a railroad spike and only sticks out on one side depending on head size and innerbore.
Bill D
PS: Be aware that the ball bearing will be metric if the machine was made after around 1930 or so. Even so it is very rare to find a inch ball bearing ever! If the machine is that old it will most likely be bronze or still a metric bearing unless it is farm equipment.