A Rose for Emily

The title of "A Rose for Emily" had me beyond confused. In the story, there was a small town in the South where there was a woman, Miss Emily, who was supposed to be part of the "old south". Anyway, she falls for a guy named Homer, and eventually, he goes into Emily's house. Once Emily dies, they go into an upstairs bedroom and there was Homer's rotting body.
So, this is where I got confused. What did the title mean? There were no roses in the story. So, I started thinking. Roses generally symbolize love. Emily was kind of old when she met Homer. The neighbors all thought she would be a spinster. So, perhaps the rose in the title was to symbolize that there was one love, or rose, for Emily. This could be why she kills Homer, in the end. She loves him, and he loved her (I thought anyway). Emily doesn't want to give up Homer. She she never has him buried. She eventually, I think, realizes that he isn't really there anymore (he's dead, hello) and that leads to her boarding up the room.