Hermann and Ian,
My great grandmother was Anna Baumgartner born 24 June 1876 in Pardany to parents Marton Baumgartner and Erzsebet Werth. Anna married Janos Reichardt 14 May 1900 in Modos.
Marton/Martinus was son of Valentin Baumgartner & Catharina Kessler.
I have traced the Baumgartners backwards from Modus, Pardan, Hatzfeld. I believe Valentin's parents were Valentin Baumgartner & Cath. Hoffman, Hatzfeld. I have nothing prior.
I hope this adds to the conversation, rather than confuse.
Some of this info was shared with me by Hermann in 2020 Thanking You again.
Any info prior to Valentin in Hatzfeld would be welcome.
Happy Searching.
Barb