I posted the creation of the season: Persephone and Hades getting together without her mother, Demeter knowing. This post is from Demeter's point of view.
While Persephone with Hades; Demeter was searched for Persephone. She feared the worst she ask Hecate, Goddess of Magic, for help. They questioned Persephone’s friends about her disappearance. They tried to covered for Persephone by saying that is she was picking flowers in a neighboring field. They were punished later by becoming sirens.
Renouncing her divine duties that included bringing fertility to the land, Demeter took refuge in the city of Eleusis. Disguised as an old woman, the goddess Demeter was met the city rulers two young daughters at the well, and they, liking her immensely, invited her to return to their home to meet their mother. There she met their mother who was cuddling her infant son. This must have stirred Demeter's longing for her abducted daughter horribly. Demeter became profoundly depressed, almost catatonic, eyes gazing off into the distance and unwilling or unable to even speak.
In addition, Demeter demanded that a temple be built in her honor. This was done, and the goddess Demeter remained there, sitting alone in the darkness, once again depressed and grieving for her lost daughter.
When Persephone leaves for her husband and kingdom; Demeter brings the bountiful harvest to humanity for winter months. At first; Demeter was sad that her daughter is gone for a while. Then realize she has time for herself and a break from her duties as the Goddess of the Harvest. Demeter go travel around the world trying new things and meeting new people.
The She give to thee: