Veronika was born in Antašava, but when she was four years old, her father Jonas Šleivys moved the house to the village of Viktariškės. In 1923 she graduated from the Kupiškis Pro-Gymnasium, in 1924-1934 she studied at the Kaunas School of Art and acquired a specialty as a graphic artist and teacher. In 1934-1938 she worked as a teacher at the Catholic school of the "Child Jesus Society", and in 1940-1946 as the director of the Kaunas School of Crafts. From 1946 she devoted herself exclusively to her art, and from 1937 she participated in exhibitions.Thirty personal exhibitions were held, including 6 in Kupiškis (1961, 1967, 1982, 1984, 2001, 2006). He created about 50 graphic compositions and painted about 2000 landscapes and still lifes in pastel. His graphic works are dominated by rural themes: "The Village Mill" (1934), "Potatoes Shoveling" (1937), "Letter to his daughter" (1939), "Heavy Burden" (1942), etc. From 1943 onwards, he painted still lifes and landscapes in pastel. The main motif of her still lifes was flowers, and she was called the Queen of Flowers: "Field Flowers" (1948), "Dahlias" (1958), "White Lilies" (1979) and others. Photographs are a very important part of Šleivytė's oeuvre. She took photographs of her family, friends, travels, art exhibitions, gatherings, and Kaunas, and there are surviving photographs of personal content. She stamped the photographs "Foto Vėra Šleivytė" and commented on the content of the image. She also created artistic photography and participated in exhibitions. Hundreds of negatives have been preserved and are kept in the Kupiškis Ethnographic Museum. The books "Life traits of Veronika Šleivytė" (2007), "Photo of Vėra Šleivytė" (2020) have been published.
A picture gallery of Veronika Šleivytė (a division of the Kupiškis Ethnographic Museum) was opened in the village of Viktariškės (Kupiškis Senate), in the artist's native homestead, on 14 September 1985. On the initiative of Albinas Vaižmužis, the then chairman of the Antašava collective farm, two dwelling houses and several barns were moved to the homestead, where about 270 graphic and pastel paintings donated to Kupiškis by V. Šleivytė were exhibited. In recent years, the gallery has been reorganised and now displays restored pastel and graphic works, more photographs, and more personal belongings. The artist was a frequent visitor to Kupiškis and the gallery, always youthful and full of energy.
Since 2000, the Kupiškis Ethnographic Museum has been organising schoolchildren's still-life competitions and exhibitions in the name of Veronika Šleivytė in order to popularise the artist's works. The authors of the best works are awarded cash prizes in the name of Veronika Šleivytė.