Was classical music around in the 1890?

Yes at that time it was the Romantic almost modern era.
Composers like Rachmaninoff( might recognise Variations on a theme of Paganini), Claude Debussy( might recognise Clair de Lune) , Maurice Ravel (might recognise bolero), Rimsky Korsakov( Might recognise flight of the bumble bee), Tchaikovsky (you may recognise from the Nutcracker, Romeo and Juliett Ballets), Georges Bizet (might recognize the opera of Carmen).