Was Persephone considered a goddess

She is most famous for being Hades wife, and Demeters daughter. Hades saw her and immediately took her as his wife, even after her mothers refusal. It is said that the seasons change because during spring and summer Persephone is visiting her mother Demeter, and since Demeter is happy the plants flourish, but during winter time Persephone returns to Hades and Demeter weeps, causing the plants to wither and die. It is also claimed that Persephone is the only person who is able to calm Hades from his tempers and angry outbursts.