In classical Greek mythology, both harpies and sirens were known as half woman/half bird creatures.
Harpies, also known as the hounds of Zeus, had the head and face of a woman, a vulture-like body, and the claws of an eagle. They had harsh, semi-human screams and a foul stench.
Sirens had the body of a human sized bird, with the head, arms, and breasts of a woman. They had very beautiful voices, which they often used to lure men to their deaths.