She belonged to a prominent noble family: her mother was the maternal granddaughter of princess Christina (ca 1432- before 1500), eldest daughter of Charles VIII of Sweden, and related to Sten Sture the Elder.
Anna Hogenskild herself was eventually appointed hovmästarinna (Chief lady-in-waiting or Mistress of the Robes) to king Gustav's last queen, Catherine Stenbock.
Anna Hogenskild had been highly regarded by King Eric XIV already when he was a crown prince, and during his reign, he displayed his favor upon her and her children.
[1] She was, however, apparently both well liked and respected at court, and was not known to be too strict: in fact, king Eric appointed her brother-in-law Ture Pedersson as chamberlain in the household of the princesses because he did not trust Anna Hogenskild to be able to keep his sisters sufficiently under control.
Her second spouse was a big landholder, owning estates both in Sweden and Denmark, and Anna herself inherited Åkerö Manor in 1540, where she preferred to reside.