Here is Beth M. Tremont's data from Social Security Applications and Claims Index, 1936-2007.. I believe her maiden name was TENNANT, and that her mother's maiden name was McCALLISTER. It appears that her death was not recorded with the Social Security Administration, but that her data was updated in the year 1943.
I urge you to order her death certificate to confirm whether the Social Security information is for the same person (the birth dates are quite far off from one another).
The list of children enumerated with William TENNANT and Margaret in the 1870 & 1880 censuses seem to suggest that Beth" was a nickname, possibly for the daughter named Isabella M. TENNANT.
Name: Beth Margaret Tremont
[Beth Margaret Teuuaut]
Birth Date: 29 Dec 1878 [might be a typo or an outright reporting error]
Birth Place: Morgan Hill, California
Father Name: William W Teuuaut [TENNANT?]
Mother Name: Margaret McAllister
Type of Claim: Original SSN.
Notes: Aug 1943: Name listed as BETH MARGARET TREMONT
Beth M Tremont
in the California, Death Index, 1940-1997
Name: Beth M Tremont
Birth Date: 1 Jan 1870
Birth Place: California
Death Date: 9 Apr 1947
Death Place: Napa