I did a little searching and, assuming the all the names are correct, i believe JWR may have been a homeless man.
If her mother's name is correct, she did marry a CW Crews who is JWR's biological father.
Jonathan Willis Roe? Same DOB - Newspapers.com
Carol Crews and CWC filed for divorce in 1940.
Carol Delaho Crews divorce CW Crews - Newspapers.com
Jonathan's name as John Willis Crews on his 1st Birthday.
John Willis Crews Birthday 11/23/1940 - Newspapers.com
On Carol's parents' 50th Wedding Anniversary,in 1957, Carol is listed as Mrs. Fred Roe of South Gate, California.
Carol Delaho Crews Roe Parents' 50 Anniversary - Newspapers.com
Fred Roe's died in 1974 in car accident. I couldn't find an obituary for him... Just the accident news article. Although it states his wife reported him missing it doesn't mention her name. But his grave confirms it's the same Fred Roe.
https://www.findagrave.com/memorial/176165319/fred-louis-roe - Newspapers.com
I don't know where the name Jonathan comes from... My theory is that Fred legally adopted John, and when they change his last name to Roe they also changed his first name to a similar one, Jonathan. It's just a theory.
Now, the homeless theory, based on newspapers' articles.
The Mason County Coroner said JWR died in "Thurston County". There's a homeless vet, John Roe in Olympia, in 1993:
Jonathan W. Roe? - Newspapers.com
And there's another homeless man, named John Roe, in Olympia, in 2004. And a photo of him, 5 months prior to JWR's death.
Jonathan Roe? - Newspapers.com
Don't know if it's just me but, I kinda see a resemblance between John Roe and Carol's father. There's something about their noses' shape...
Please, take this with a grain of salt, as I'm not sure if the names on Findmygrave.com are correct.
MOO JMO