I can't find much about her, just a very brief English-language wikipedia entry which says
Leokadiya Aleksandrovna Kashperova (1872-1940) was a Russian pianist and Romantic composer. She was the piano teacher of composer Igor Stravinsky -
https://en.wikipedia.org/wiki/Leokadiya_Kashperova - and then a footnote to a BBC article entitled "The women erased from musical history" -
http://www.bbc.co.uk/programmes/articles/1Tg6t6YxdxyYmKykSfWp9cs/the-women-erased-from-musical-historyFrom Russian online sources (via google translate):
Leokadia Alexandrovna (4 (16) May 1872, in Lyubim in Yaroslavl Province - 3 December 1940, Moscow) - Soviet pianist, composer and teacher. She graduated from St. Petersburg. conservatoire in piano classes (externally, 1893, in 1888-91 studied with A. G. Rubinstein) and composition by H. P. Solovyov (1895). She performed in Russia and abroad as a soloist and ensemble (in a string trio with L. S. Auer and A. V. Verzhbilovich, in a duet with Czech violinist P. Ondřicek). 1-st performer of some works of M. A. Balakirev, A. K. Glazunov, as well as own compopsitions. In 1918 she moved with her husband - prominent revolutionary actor S. Andropov - to Rostov-on-Don, she was a teacher at the Conservatory, she performed in concerts. From 1922 she taught in Moscow. Among her compositions - a symphony, an overture, a cantata "Orvasi", concerto for piano with orchestra, and chamber works including "Russian Serenade" and 2 sonatas for cello and piano; piano pieces, romances. Wrote "Memoirs" and "Memories of A. G. Rubinstein" (published in the collection: "The Musical Heritage", vol. 2, part 2, 1968). -
https://dic.academic.ru/dic.nsf/enc_music/3530/Кашперова