You might want to look at our discussion of the novel's setting before you enter here, or at least know it's there to help if you get tangled up in this story's crazy chronology. Also keep in mind that the narrator of this story represents several generations of men and women from the town.
The story begins at the huge funeral for Miss Emily Grierson. Nobody has been to her house in ten years, except for her servant. Her house is old, but was once the best house around. The town had a special relationship with Miss Emily ever since it decided to stop billing her for taxes in 1894. But, the "newer generation" wasn't happy with this arrangement, and so they paid a visit to Miss Emily and tried to get her to pay the debt. She refused to acknowledge that the old arrangement might not work any more, and flatly refused to pay.
Thirty years before, the tax collecting townspeople had a strange encounter with Miss Emily about a bad smell at her place. This was about two years after her father died, and a short time after her lover disappeared from her life. Anyhow, the stink got stronger and complaints were made, but the authorities didn't want to confront Emily about the problem. So, they sprinkled lime around the house and the smell was eventually gone.
Everybody felt sorry for Emily when her father died. He left her with the house, but no money. When he died, Emily refused to admit it for three whole days. The town didn't think she was "crazy then," but assumed that she just didn't want to let go of her dad, (even though you could argue that he had stolen her youth from her).
Next, the story doubles back and tells us that not too long after her father died Emily begins dating Homer Barron, who is in town on a sidewalk-building project. The town heavily disapproves of the affair and brings Emily's cousins to town to stop the relationship. One day, Emily is seen buying arsenic at the drugstore, and the town thinks that Homer is giving her the shaft, and that she plans to kill herself.
When she buys a bunch of men's items, they think that she and Homer are going to get married. Homer leaves town, then the cousins leave town, and then Homer comes back. He is last seen entering Miss Emily's house. Emily herself rarely leaves the home after that, except for a period of half a dozen years when she gives painting lessons.
Her hair turns gray, she gains weight, and she eventually dies in a downstairs bedroom that hasn't seen light in many years. The story cycles back to where it began, at her funeral. Tobe, miss Emily's servant, lets in the town women and then leaves by the backdoor forever. After the funeral, and after Emily is buried, the townspeople go upstairs to break into the room that they know has been closed for forty years.
Inside, they find the corpse of Homer Barron, rotting in the bed. On the dust of the pillow next to Homer they find an indentation of a head, and there, in the indentation, a long, gray hair.