The establishment of Varniškės village dates back to the second half of the 18th c. The village features several old oaks and lindens, including two natural monuments — an oak and a linden tree. The oak of Varniškės is an exceptionally old and peculiar-looking oak, growing along Varniškės, close to Tauragnai-Šeimatis-Daunoriai road, about 2 km south of Daunoriai village. The oak is about 500 years old. Its trunk is hollow from the ground, able to fit 5-6 people inside. During the times of war people used it to hide grain, bacon, other things and even sheep. The tree grows in a glide between forests, in the territory of Pliaušė hydrographic reserve. On 12 June 2008 the Ministry of Environment of the Republic of Lithuanian gave it the status of a botanic object of natural heritage, protected by the state. The linden of Varniškiai (trunk —1.2 m wide, height — 28 m) was given the status of a natural monument and included into the list of protected objects in 1999.
