Annie does not seem to appear on the SSDI with the birth date 28 January 1914 - the SSDI was fully up and running by 1963/64 - Checked the date with another surname - just in case she married but only got these alternatives and nothing about 1963.
Annie Hamilton 28 Jan 1914 Aug 1982
90003 Los Angeles, Los Angeles, California.
Annie Mae Johnson 28 Jan 1914 7 Feb 2003
78203 San Antonio, Bexar, Texas.
Annie Collier 28 Jan 1914 Jan 1981
78648 Luling, Caldwell, Texas.
Annie L. Greene 28 Jan 1914 14 May 2003
38614 Clarksdale, Coahoma, Mississippi.
Annie Samuel 28 Jan 1914 Aug 1978
30331 Atlanta, Fulton, Georgia.
Annie I. Wall 28 Jan 1914 31 Mar 2008
36024 Eclectic, Elmore, Alabama
Annie B. Alston 28 Jan 1914 28 Jan 1995
48236 Grosse Pointe, Wayne, Michigan.
Annie Martin 28 Jan 1914 Apr 1995
53949 Montello, Marquette, Wisconsin.
Also checked the Nevada death Index - 1911 - 1965 and came up with an entry for :-
Fredericka Peterson - 28 January 1914 England - passed away 28 March 1961 Reno, Washoe, Nevada.
Sandra