Her name is given as Idaho Baker in the 1870 census record.
Name of father William B. Baker
Name of mother Eliza
OSBH DC (Multnomah County 1938) #3717 – Ida Jane Robertson, female, widow (Benjamin Robertson), housewife, b. 17 Apr 1865 in Idaho, d. 7 Dec 1938 in Portland, Oregon (Portland General Hospital) at the age of 73 y’s 7 m’s 20 d’s, name of father B. W. Baker (b. Iowa), name of mother Eliza (b. England), interment 11 Dec Turner, undertaker Moreland Funeral Home, informant Claude Lyons.
1870 OR CENSUS - Idaho J. Baker, age 5, b. Idaho, is enumerated with William B. Baker, age 37, occupation farmer, b. Illinois, and Eliza, age 32, b. England, along with Mary E., age 12, b. Iowa, and James W., age 10, b. Iowa.
1st MARRIAGE – Edward Lyons, Abt 1887
1900 OR CENSUS - Ida J. Lyons, age 35, mother of 2, b. Apr 1865 in Idaho, is enumerated with her husband of 12 years, Edward, age 35, occupation bicycle repairer, b. Jan 1865 in Oregon, along with William E., age 10, b. Jan 1890 in Oregon, and Claude C., age 3, b. Dec 1896 in Oregon.
2nd MARRIAGE – Abt 1907, Benjamin Robertson
1910 OR CENSUS (Marion Co., Turner, ED 234, sheet 6B)
Ida J. Robertson, age 45, mother of 2, b. Idaho, is enumerated with her husband (both 2nd marriages) of two years, Benjamin Robertson, age 52, occupation farmer, b. Indiana, along with Benjamin Robertson, age 17, b. Oregon, Lena A. Robertson, age 14, b. Oregon, William E. Lyons, age 20, identified as step-son [of Benjamin Robertson], single, occupation farm laborer, b. Oregon, and Claude C. Lyons, age 13, identified as step-son [of Benjamin Robertson], b. Oregon.