She was the previous Endless Witch before Beatrice, and was also her teacher.
Her new name (having passed her old one to her student) comes from the Divine Comedy character Virgil, who guides Dante through Hell and Purgatory to Beatrice, who is his guide through Heaven.
She is a silver-haired witch with great powers, despite surrendering most of them to Beatrice with the title of the "Endless Witch". Unlike Beatrice, Virgilia thinks that the powers of a witch should be used for good and not for selfish means.
She taught Beatrice the Endless Magic, and retired, believing that Beatrice would also devote herself for the people. At the same time that she was Beatrice's teacher, she also served as the magician of Beatrice's home. Because of that, Virgilia had come in contact with her with the position of a servant. It is said that this became her downfall, and invited Beatrice's arrogance and recklessness
She may be linked to Chiyo Kumasawa.