The museum in Italy could tell us more about the inventors of the Stradella bass system and of the reverse Stradella.
Mariano Dallapè is named to have played a role. Some Italian websites name him for contributing around 1890 the perfection of the unisonic chromatic accordion, with fixed chord system, chords and bass arrangement to play in all keys in the bass side, with identical fingering patterns for the left hand side.
That same time, around 1890, a Rosario Spadaro is named to have invented (? where is the patent, its missing...) the first free bass accordion (not the convertor, only free bass. And theres also the 1844 patent of the double concertina by Charles Wheatstone, England, in fact one of the very first free bass accordions in history, with 4 columns/rows chromatic layout)
Its possible the Museo Fisarmonica Il Museo della Fisarmonica “Mariano Dallapè” in Stradella has some documents about this history of bass layouts in the archives.
http://www.culturaitalia.it/opencms/museid/viewItem.jsp?id=oai:culturaitalia.it:museiditalia-coll_79
Mariano con le caratteristiche fondamentali dello strumento ma è del 1890 la sua più geniale intuizione: la creazione della fisarmonica cromatica, ossia unitonica, contestualmente dotata, nella parte delle voci basse, di note codificate in accordi precostituiti, adatte allaccompagnamento in tutte le tonalità.
Stradella is not far from Milano or Cremona.
The so called square Belgian Basses lost their attractiveness, with the introduction of free bass pieces in classical accordion education. In the old days, accordions in Belgium had square Stradella basses + 3 free bass rows on top, sometimes 9 rows of basses in total. The origins of these bass systems mostly come from Italy and the USA.
Accordion teachers told me the international standard layout for the Stradella basses are more convenient for playing free bass pieces with a convertor accordion, than the square grid bass system. Belgian accordion teachers followed the international standard bass layout for accordion education.