During the studies, she married Fedir Serhiienko, they had two sons, Yevhen and Oleksandr (Oles).
Her husband was jailed in 1935, released in 1936 but could not find a job in Dnipropetrovsk and moved to Tambov.
In 1937 Meshko, who was working in the chemical lab of an agricultural institute, lost her job and moved with the children to Tambov.
During the war, her son Yevhen was killed by a bomb, and her husband was mobilized and returned as a disabled person.
[3] In 1947, Meshko and her sister Vira were arrested and charged with the preparation of an assassination attempt of Nikita Khrushchev, then the First Secretary of the Communist Party of Ukraine.
Meshko served her sentence in Ukhta and returned to Kyiv in 1956; in the same year she was rehabilitated.