Task: Question Generation
Input (English): Passage: By the time Smetana completed his schooling, his father's fortunes had declined. Although František now agreed that his son should follow a musical career, he could not provide financial support. In August 1843 Smetana departed for Prague with twenty gulden, and no immediate prospects. Lacking any formal musical training, he needed a teacher, and was introduced by Kateřina Kolářová's mother to Josef Proksch, head of the Prague Music Institute—where Kateřina was now studying. Proksch used the most modern teaching methods, drawing on Beethoven, Chopin, Berlioz and the Leipzig circle of Liszt. In January 1844 Proksch agreed to take Smetana as a pupil, and at the same time the young musician's financial difficulties were eased when he secured an appointment as music teacher to the family of a nobleman, Count Thun.For the next three years, besides teaching piano to the Thun children, Smetana studied theory and composition under Proksch. The works he composed in these years include songs, dances, bagatelles, impromptus and the G minor Piano Sonata. In 1846 Smetana attended concerts given in Prague by Berlioz, and in all likelihood met the French composer at a reception arranged by Proksch. At the home of Count Thun he met Robert and Clara Schumann, and showed them his G minor sonata, but failed to win their approval for this work—they detected too much of Berlioz in it. Meanwhile, his friendship with Kateřina blossomed. In June 1847, on resigning his position in the Thun household, Smetana recommended her as his replacement. He then set out on a tour of Western Bohemia, hoping to establish a reputation as a concert pianist.
Output (English): What is the name of the person that had their friendship with Kateřina blossom?