I know its been awhile since you posted this and maybe you found Eliza since, but I found what may have happened to her. First, Chamberlain is in SD, not ND common mistake. Eliza married Henry H Reynolds on 24 Apr 1867 in Grant Co, WI. He dies before 1900. Eliza receives a land patent on 26 Jul 1899 for the land in Chamberlain, so she was out there prior to that date. In the 1900 census she is living with her daughter, Ella and her husband William Troth(sp?). Eliza is working as a nurse.