The character may have originated in central Italy, then spread as a tradition to the rest of Italy.
A popular belief is that her name derives from the Feast of Epiphany or in Italian, “La Festa dell’Epifania”. Epiphania (Epiphany in English) is a Latin word with Greek origins. Epiphany means either the Feast of the Epiphany (January 6).”
In popular folklore Befana visits all the children of Italy on the eve of the Feast of the Epiphany to fill their socks with candy and presents if they are good or a lump of coal or dark candy if they are bad. In many poorer parts of Italy and in particular rural Sicily, a stick in a stocking was placed instead of coal. Being a good housekeeper, many say she will sweep the floor before she leaves. To some the sweeping meant the sweeping away of the problems of the year. The child’s family typically leaves a small glass of wine and a plate with a few morsels of food, often regional or local, for the Befana.
She is usually portrayed as an old lady riding a broomstick through the air wearing a black shawl and is covered in soot because she enters the children’s houses through the chimney. She is often smiling and carries a bag or hamper filled with candy, gifts, or both.