The origin of the surname Lozan(Lausianne)

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Hi Everyone, I am researching about my family

history and trying to trace a potential Balkan migration route to Turkey from the late Ottoman era. According to our family oral history we are related (my grandmothers great great- Idk how many :D grandfather) to a historic figure named Ihsan Bey (known in local archives as the son of the former Financial director/ "Mal müdürü oğlu İhsan") who was one of the local leaders in the 1920 Zile rebellion in Tokat/Zile, Turkey. And then his mansion were burned down by Atatürk(like crazy family history here but I love Atatürk!) Official Turkish history textbooks just mention him as a local from Zile. However, my maternal grandmother's family carries the surname "Lozan" (which is the Turkish spelling for Lausanne, heavily associated with the 1923 Lausanne Population Exchange and Balkan muhacirs/migrants). Given that his father was a high-ranking Ottoman bureaucrat (Mal Müdürü) and our surname is Lozan, we highly suspect that the family originally migrated from the Balkans (possibly Macedonia, Greece, or Bulgaria) to Zile during the late 19th or early 20th century. I know the Dates don't add up but there weren't any surnames in turkey till The Surname Law of 1934.