"At last, after 26 years, they've recognised justice," she said, adding: "pity they took so long."
Her Post Office had been one of the most successful in the region but eventually she had to sell it at a loss.
Talking about what happened, she previously said it "absolutely destroyed my whole life".
The Horizon IT system was responsible for more than 900 sub-postmasters being wrongfully prosecuted because of it providing incorrect information. Thousands more, like Mrs Brown, were forced to make up for the alleged losses at their branches across the UK.
The scandal has been described as one of the widest miscarriages of justice in the UK.