Their, since the sentence is refering to two people.
I believe that the best answer for this question would be B, "her own." She and Death stop at a burial ground for her, which is marked with a headstone. This entire poem is about her dealing with Death after passing away. She views the world from a distant perspective and eventually life from a distant perspective. Hope this helps.
I think the answer is :<span>It serves as one of the main conflicts because it leads Della to sell her hair.
BTW is there options</span>