According to the musical score that was published by the Fexis publishing house in Athens, the song, with music and lyrics by Evangelos Pantopoulos, comes from the vaudeville "I nyfi tis Koulouris".
The vaudeville premiered in Athens on September 16, 1895 at the "Tsocha" theater by the Pantopoulos’ - Alexiadis’ - Zanos’ "Athens" troupe. 
The play, "a character comedy of purely Greek morals with songs in 3 acts, full of plot, action, comedy sketches and local dances", as stated in the programme of the play, was staged in December 1895 at the Odeon Theater (formerly Verdis) in Constantinople (Istanbul) by the Panellinios Dramatikos Thiasos (Panhellenic Drama Troupe).
According to the above programme, Evangelos Pantopoulos and Loudovikos Spinellis collaborated on the music of the play, "composed on the basis of folk-like music".
For the vaudeville "I nyfi tis Koulouris" see Giannis Sideris’ essay "To komeidyllio, 1888-1896", Ta Mousika Chronika, Athens, 1933, p. 49-50.
Aristomenis Kalyviotis writes about the English record company "The International Record Publishing Company Ltd." (2020: 11-17): "The company is known in the collectors' circles as 'Apollon', from the label 'FONOGRAFIKOS DISKOS 'O APOLLON'' ('APOLLO' PHONOGRAPH RECORD) which was written on the labels of its records. Information about its history comes from H. Strötbaum’s website, as well as from a relevant article by researcher Frank Andrews. This record company began producing records recorded in the Greek language during the first decade of the 20th century. It was founded in England on September 19, 1907. The company produced phonographs (see here) and records which had in the logo of their label the inscription "FONOGRAFIKOS DISKOS 'O APOLLON'". The main shareholders of the record company were Alexandros - Theofanis Stavridis (1869-1960), whose parents were from Syros, and Constantine Craies (1882-1965), whose mother was Greek.
In October 1907, the record company sent to Athens the sound engineer Sidney Alfred Taylor, who recorded Greek and Turkish songs. In December of the same year, the new records were ready and they were released in Athens. These first records were 31 cm in diameter. Many of the songs in this recording come from the melodrama scene. The performers were N. Moraitis, K. Vakarelis, A. Florianos, G. Sklavos and others. [...] It is not known how many records the aforementioned first batch contained. So far, one record, which has the number A-99 on one side, has been identified. [...]
Another advertisement in the Athenian press, published in November 1908, followed. It announced that 'the new records of the performed recording' had arrived. This new batch of records was 27 cm in diameter and their labels were red. Records’ numbers from A-132 to A-207 have been found so far. [...].
This batch of records was recorded in 1908, given that its advertisement mentions songs that were heard for the first time in the revue "Panathinaia" of the same year (e.g. "Nea gynaika").
In the list of the company's records that were found, it appears that "Apollon" must eventually had released more than one hundred double-sided records. All the songs in the catalog are in Greek."