I found a Frances Chapman Livingstone who died in August of 1921 who lived in Glide, Oregon. The article does not mention his name. It says she has a daughter and son and a sister by the name of Mrs. S.J.Shrum who also lives in Glide.
I also found a death index for another Frances P. Livingston.
Oregon Death Index, 1903-98 about Frances P Livingston Name: Livingston, Frances P County: Linn Death Date: 26 Jan 1947 Certificate: 434
I hope one of these is the person you are searching for. Ellie