Well done, Wolfgang! The tune is 'Take Me Out to the Ball Game', composed by Albert Von Tilzer (music) & Jack Norworth (words) in 1908. Great that they play it in waltz time, which is how it was originally written.
Harry Caray, a Chicago institution, always sang it in waltz time. Here he is at a Sox game (before he defected to the North Side): ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-HnHV5FaqvEs.html