I stumbled across the 1910 census record while looking for her sister Mary Ann Gladden -- listed as Bullings on this record meaning she was already married. You can see at this time that little Catherine has been born. Here, as in the other census records, Mary's husband is not listed.
The 1920 census record lists her with her husband, "Osca L" (Oscar) and her daughter Catherine L., who is 10 at this time. Also included in the record is a sister, Mary A. Bullings, who is is Cora's sister, Mary Ann, with her married name.
The 1930 census record again shows her and her husband, Oscar L. Lambert. Also in the house is a Katherine Via (or Vea?), listed as a daughter; and Fred C. Via, a son-in-law. Interestingly, another member of the household is none other than Zula "Glanddin", her mother, who, by this time, is a widow.
Interestingly, there are three others listed in the house, namely: Mary "Bullinge", listed as a 40-year-old sister, again Cora's sister; John T. Cobb, a 40-year-old boarder; and one Albert Pickerel, an 8-year-old boy who is listed as an adopted son. It is very likely that Albert is the adopted son of Cora and Oscar, but that conclusion can not be fully drawn from this record alone.