It may not be of any help at the moment.
Mary Docherty born approx 1854, married a James Fraser 1st Dec 1876. Her father was John Docherty(coalminer), mother was Bridget Docherty. Had a few children. Lived Dalziel, Lanak.
Rose Ann Docherty - born approx 1850. Married David Fraser 7th June 1872. Her father was John Docherty (coalminer), mother was Elizabeth Docherty. Had at least 5 children. Lived Dalziel, Lanark.
If you do manage to link up with either of these I do have more information on them.