The song comes from the movie "Mia prova sta grigora" ("A quick rehearsal") starring accordionist Basil Fomeen and Tetos Dimitriadis. Argyris Tsiapos, in his book "Oi protes tainies tou ellinikou kinimatografou" (Serres, December, 2015), states the following: "The second 'talkie', which was screened in both the US and Greece along with the movie 'Grothia tou sakati' ('Fist of a Cripple'), was 'Mia prova sta grigora' ('A quick rehearsal') , a copy of which is said to be preserved in the archives of the Jacob's Pillow Dance Festival. According to Jacob's Pillow catalog, the introductory card states the following in Greek: 'The Orthophonic Picture Corporation of New York presents Tetos Dimitriadis in the first Greek speaking-cinematic comedy sketch, Mia prova sta grigora'. During the film (which is short in length), a fox trot can be heard as the background music; Tetos Dimitriadis sings two songs and... the film closes with Tetos' line: "Nice! Nice! You made a big hit. Let’s go." The music was composed by I. Skizas and Basil Fomeen, and the lyrics were written jointly by Okar (obviously meaning Orfeas Karavias) and Dimitriadis. This short film was screened several times in cinemas in Alexandria, accompanying various Greek films in the following years (e.g. the audio version of 'Eros kai kymata' ['Love and waves'] in November 1936)." For more information see http://protestainies.blogspot.com/2016/02/blog-post_67.html. 
The musical score of the song was published in New York by the Synchronic Publishing Company.