I didn't find a death record for them in Alaska, however, Alaska deems death records confidential for 50 years. The details can be found at http://genealogy.about.com/od/vital_records/p/alaska.htm
I did find Amy and Thomas Bethel's marriage info.
Thomas Edward Bethel, b. Cave City, Kentucky
Amy Stella Hyde, b. Springfield County, Wisconsin
Married: 30 Jan 1896, Clear Lake, Polk, Wisconsin
Groom's Parents: Thomas Bethel and Victoria Burks
Bride's Parents: William Hyde & Fredericia Ludwick
I'd guess Stella was born about 1876.
In 1910 a Stella Bethel was living in Spokane with a daughter Dorothy. However, I don't know if she's your Stella or not because she was living with an Otta family.
Having accurate birth info is VERY important because then you'll know when you find the correct Amy Bethel or Swanson. Successful Searching!