Yuri Andropov
His earliest documented name was Grigory Vladimirovich Andropov-Fyodorov; he changed it to Yuri Andropov only several years later. While his original birth certificate disappeared, it was established that Andropov was in fact born in Moscow where his mother had been working in a women's gymnasium since 1913 throughout 1914 and until 1917.
Vladimir Horowitz
Vladimir Horowitz was born in Kiev, Russian Empire (now the capital of Ukraine). There are unsubstantiated claims that Horowitz was born in Berdychiv, but his birth certificate unequivocally states Kiev as his birthplace.