Tatiana Kabanova is a singer and actress born in Petropavlovsk-Kamchatskiy in 1957. Apart from that there is next to nothing about her on the internet. I have no idea who she is but she sounds like a reincanation of Edith Piaf.
The following information is a Google translation of part of the description beneath one of the videos:
"In 1993, Tatiana turns to the "golden fund" of chanson - works from the repertoire of A. Severny, V. Krestovsky, Br. Pearl. She records her first songs of this style with the orchestra at the Leningrad Documentary Film Studio. It was these recordings that were first presented on the “Night Taxi” program on Radio Chanson."