Efraim was the son of Anka and David Talmon (originally Tauman). The family, Polish Jews who lived in Germany, emigrated to Palestine in the 1930s after Hitler's rise to power.
Efraim with his parents, ca. 1940.
Efraim with his mother, Ann Tauman [nee Czarnozapka] and his grandmother, Ester Lea Czarnoczapka [nee Chorowicz], Berlin, ca. 1930 -- thanks to Jerry for the correction.
Youth
Efraim as a youth.
More pictures of Efraim and his family can be found here.
Family History
Efraim's paternal grandparents, David's parents, were Mendel and Sarah Tauman. His maternal grandparents, Anka's parents, were Aron and Ester Lea Czarnoczapka.
Mendel and Sarah Tauman
The Czarnoczapka family.
Another photo of this family can be found here, in a chess context.