I have several members of my Aikins family in Southern Oregon, and in the process of researching them, I have come across a couple documents that may be of your families.
1) an unidentified newspaper obituary, 'Mrs J C Aiken, Pioneer, Passes', probably from 1938
It states Mrs J C (Dee Ellen (Chapman)) Aiken, 87, resident of Douglas County for 85 years ...
Her husband, John C Aiken also was of pioneer parentage, and his father, John Aiken, for many years conducted a ferry service at Winchester. ...
She leaves a daughter, Florence Aiken Banks ...
2) 'Florence Aiken Banks, Roseburg, Oregon, A Personal Interview, August 10, 1938', apparently published as or at lest a part of a manuscript titled 'Reminiscences of Southern Orregon Pioneers', pg 19-21. It states:
Her father, John L Aiken, came over the plains in 1852. He was 14 years of age. Both of John L's parents died on the trail, his mother buried at Bonner's Ferry, Idaho, and her father at Lone Fir Cemetery in Portland.
John L, 14, and his sister Nancy, 10 years of age, took care of the seven other children of the family. John L went south from Portland and finally arrived at the Umpqua River. His uncle, John Aiken, who had come across the plains in 1847, was located at Winchester, Oregon, on the banks of the Umpqua, and to him, the young lad went.. The ferry business made John wealthy -- he was one of the financeiers if what is now Douglas National Bank and also of the first big department store that was opened in Salem, Oregon.
The eldest daughter of John Aiken, Sarah, married the son of General Joseph Lane at age 15 --a year later the young bride died in childbirth, and the baby passed away three days later.
I have ascertained no connection between these folks and my Aikins family from Morgan County, Ohio, nor can I offer any opinion of the apparent confusion betwen John L and John C in the above documents and their relationship to John.