Your relative may have been able to apply for SS benefits. In September 1950 Benefits began to be paid to the dependent widower, dependent husband, wife under 65 with a child in her care, and to a divorced wife.
On February 2, 1953 President Eisenhower, in his State of the Union Message, recommended that the "old-age and survivors insurance law should promptly be extended to cover millions of citizens who have been left out of the Social Security system."
It is possible that your Great grandmother was allowed SSA benefits.
SSA does not make available applications for benefits. They do publish death notices. The census records are available and I think I saw your relative listed in the 1920 census.
"United States Census, 1920,"
FamilySearch(https://familysearch.org/ark:/61903/1:1:MJJ9-CBY : accessed 19 September 2015),
Ursley Berry in household of Thomas Berry, Gladeville, Wise, Virginia, United States;
citing sheet 29B,
NARA microfilm publication T625 (Washington D.C.: National Archives and Records Administration, n.d.); FHL microfilm 1,821,918.
A truly free and very helpful site for checking is FamilySearch.