Both the pomograntet and the asphodel have been associated with Persephone as her symbols.
Persephone is associated with Pomegranates. I'm not sure about the rest though.
A Pomegranate
Grain, pomaganate, and torch
The spring. It is also said that the bat is her animal.
The dead in his Underworld, and his wife Persephone.
It depends on what time of the year these months are during. Winter and Autumn are associated with the Underworld, while Spring and Summer are associated with Persephone returned to Earth.
They are most often associated with a myth, such as a screech owl was what the gardener of Hades, Ascalaphus, was turned into that bird for telling that Persephone had eaten food from the Underworld by Demeter. A white poplar was sacred for being the metamorphosed form of Leuke, a lover of Hades. Minthe was of that same origion as a lover of Hades who was transformed by Demeter or Persephone into mint. Most symbols are then crude memory cues for the myth involving certain gods and goddesses.
Sheafs of grain : a goddess of Spring growing things; a tie to Demeter. A flaming torch : a reference to her journey though the Underworld and bringing life to earth. Asphodel : a field of this grows in the Underworld where the dead dwell. Symbols of Hades the King of the Underworld were sometimes included as hers: modern symbols include the white rose and the bat.
In The Odyssey, Persephone did not play a direct role as she is a character from Greek mythology associated with the underworld. She is the queen of the underworld and the wife of Hades. Her story is not specifically mentioned in The Odyssey.
No, Hades was married to Persephone, daughter of the Olympian Goddess Demeter. Hecate is a Goddess with an uncertain mythology, though often associated with Persephone and the Underworld.
The pomegranate. Young wheat. Torch. Together with Hades, rooster, bowl and mint as well.