Demeter was not consulted about it, her daughter had been kidnapped by her husband Hades - which Hades had gotten the permission of Zeus first.
Demeter found Persephone with the help of Hecate and Helios.
Hades is the one who took Persephone. Demeter, her mother, noticed she was missing.
Hecate was benevolent to Demeter when the goddess was searching for Persephone; and when found, Hecate became the companion-handmaiden of Persephone.
They are involved in the myth in which Hades falls in love with Persephone, and abducts her to the underworld to be his wife. Demeter, who loved her daughter more then anything, stopped doing her job and searched for Persephone. She found her in the Underworld and talked to Zeus. An agreement was made that half the year Persephone is with Demeter (Spring/Summer) and half the year Persephone is with Hades (Fall/Winter)
Hades (Pluto is the Roman version of Hades) is the Greek god of the dead and the underworld. Persephone is the daughter of Demeter, Greek goddess of the harvest and growing plants. Hades saw Persephone, decided he was in love with her and kidnapped her. Demeter mourned the loss of her daughter and the world went barren of growing plants. Eventually the gods found Persephone in the underworld with Hades, but before she was found she had eaten six pomogranate seeds. Because she had eaten of the fruit of the underworld, she was bound to stay. The gods worked out an agreement that Persephone would spend 6 months of the year with Hades in the underworld, one month for each seed eaten, and would spend the rest of the year with Demeter. This is the explanation for the changing of the seasons - when Persephone is with Demeter, plants grow because Demeter is happy to have her daughter back. When Persephone returns to the underworld, Demeter grieves and the world goes barren, aka the seasons turn to winter.
Zeus had promised Hades his daughter Persephone as his wife, Zeus neglected to mention this to Persephone and her mother Demeter; Hades had created a flower for Persephone, and Persephone and her maiden goddess companions found it in exploring a field of flowers, Persephone plucked the flower and Hades thought this a acceptance of his love for her, and took her to his realm where he found out he had kidnapped Persephone (who in some myths isn't at all opposed to being Hades' Queen) and when Demeter ventured into the underworld Hades greeted her and said Persephone was allowed to return if she had not eaten of the food of the underworld - she had, so she spent the winter with Hades and in rest of the year with her mother; it goes differently how long exactly, but winter is the return of the sorrow of Demeter having lost her daughter.
Where Persephone was kidnapped by Hades and then Demeter went looking for her and when she found her daughter, demanded her return only to find that Persephone had then eaten of the food of the Underworld, she was then made to spend half the year with her mother and half with Hades as his wife.
At one time she aided Demeter in her search for Persephone, when Hecate found her she stayed in the Underworld with her as her companion.
Demeter is obviously worried and scared for her daughter, and wrathful in mourning and sorrow when she found Zeus had let Hades take for bride their daughter Persephone without her knowledge and consent.
When Demeter's daughter Persephone was taken by Hades the god of the underworld, she was heartbroken and searched for her everyday. She found her but it was too late. Persephone had eaten some of the underworld fruit. The deal was to stay with her mother for the Spring and Summer, and being Hades's queen for the Winter and Autumn.
Demeter found her daughter, Persephone, after searching the earth for nine days and nights, refusing to eat or drink. During her search, she encountered Hecate, who guided her to Helios, the sun god. Helios revealed that Persephone had been taken by Hades to the Underworld. This revelation prompted Demeter to take action to ensure her daughter's return, ultimately leading to the arrangement of Persephone's seasonal cycle between the Underworld and the earth.
Some allusions to Ceres or Demeter can be found in literature, art, and mythology, where they are often associated with agriculture, harvest, motherhood, and fertility. For example, the story of Persephone's abduction by Hades symbolizes the changing seasons and the cycle of life and death. Additionally, the Eleusinian Mysteries were religious rites dedicated to Demeter and Persephone, celebrated in ancient Greece.