They are both her sons.
AFAIAW Ann herself never run any shop, they were run by her husband Robert and her two sons John and George. I'm not sure what control she had over the shops run by her sons. The advert comes only days after the death of Robert, I assume that the family didn't want to miss any business and that the sons would have taken on the work, together with their apprentices. What happened to Robert's shop in the long run is another matter.
As Robert's direct heir, Ann clearly had control of his shop. Whether she gave up control to John or George is unknown. Another possibility is the involvement of John Davenport, the husband of Ann's daughter Mary. Davenport was also the executor of Robert's will.