Your great grandmother—and you—were lucky. In 1941, Stalin deported the Volga Germans and other Voksdeutschen remaining in the Soviet Union to Siberia, Kazakhstan, and other inhospitable places.
I actually found a website with a description of my great-grandparents' home village, Huck (now known as Splavnucha), which is located about sixty miles southwest of Saratov. The site also includes some letters from some of the villagers who opted to remain behind.