New Delhi, Feb. 21 -- Even now, safely in her new home of Estonia, Inna Vnukova says she can't purge the terrifying memory of living under Russian occupation in eastern Ukraine early in the war and her family's harrowing escape.

They hid in a damp basement for days in their village of Kudriashivka after Russia's full-scale invasion in February 2022. In the streets, soldiers waving machine guns bullied residents, set up checkpoints and looted homes. There was constant shelling.

"Everyone was very scared and afraid to go outside," Vnukova told The Associated Press, with troops seeking out Ukrainian sympathizers and civil servants like her and her husband, Oleksii Vnukov.

In mid-March, she decided that she and her 16-year-old son, Zhenya,...