Their daughter Elena Glinskaya (d. 1538) married the grand prince and sovereign Vasili III of Russia (d. 1533).
[1][2] During the regency of her daughter Elena Glinskaya from 1533 until 1538, Anna is said to have wielded influence over affairs of the Russian state.
After the death of her daughter, Ana and her sons, uncles of the young tsar Ivan, were removed from influence.
When her grandson Ivan IV was declared of age and the regency terminated, Anna and her sons returned to favor, securing influence over him during his early reign.
[1][2] The influence of Anna and her sons created public hatred toward them, and when a fire destroyed large parts of Moscow in June 1547, the public demanded that Anna be turned over to them, and accused her of being a sorceress who had stolen the hearts of people and then flew over the city and sprinkled it with the water from the hearts, causing the fire.