I found two Margaret Taylor's who may or may not be who you're looking for:
Born: 13 Oct 1905
Last Residence MAYBE: Albuquerque, Bernalillo, NM
Died: July 1983
Her soc. sec. # was assigned before 1951.
Source: Social Security Death Index.
Born: 20 jan 1909
Last Residence MAYBE: Albuquerque
Died: November 1981
Soc. Sec. # was assigned before 1951.
I marked the Last Residence as MAYBE Albuquerque because Social Security uses that field for other purposes too.
A Margaret V. Taylor
Buried: Gate of Heaven Cemetery, Albuquerque, Mausoleum.
New Mexico death records are very restricted (for details go to usgwarchives.org/nm/nmdir.htm), therefore, I couldn't look for her in the New Mexico Death Index.
If you want to pursue an obituary, you can contact the Rio Grande Valley Library System at freepages.genealogy.rootsweb.ancestry.com/~obitl/volnm.html