My great Aunt, Martha Kinsey, had a companion named Cornelia Frye. Martha was from Cincinatti, Ohio. She and Cornelia lived for many years together in La Jolla, Ca and then they moved to Dallas Texas where Martha died, probably in the late 1970s. Cornelia lived for some years after that into the 1980s
Don't know if this is your Cornelia. She once told me that as a young child she had been adopted by a wealthy woman and lived in a big house on a hill. i never heard about a son, and it would be a surprise to me if this Cornelia ever had one.
I really don't have any more information about her biographical details, but I can tell you that she was a force to be reckoned with -- kind and generous, but she pretty much got her way. Best of luck on your quest.