At the end of Chains, what happened to Ruth?
In Chapter 43, Isabel discovers that her mistress had not actually sold Ruth but that she was in Charleston in the Lockston's estate. She discovers this fact in the most cruel way possible, as her mistress deliberately punishes her by threatening the life of Ruth. Note what she says to Isabel and the way in which she tells Isabel about Ruth's fate:
Couldn't find a buyer. Had to ship her down to Charleston. I shall tell the estate manager to get rid of her, toss her in the swamp. Her death will be on your head, you insolent fool.
Isabel thus discovers that Ruth is not actually lost and she resolves to do everything she can to rescue her and bring her to safety. Although the novel ends before the reader discovers whether Isabel is successful in her plan to save Ruth, it is clear that Isabel's plan having escaped is to walk to Charleston from across the river and try and find Ruth there in order to rescue her. The precise fate of Ruth therefore is left open in the novel. The reader is only told that she is in Charleston and not sold to some unknown buyer, therefore giving hope that Isabel might be able to rescue her.