No, I have been unable to go any further. HAPSBURG family appears not to share information. ZAHRINGEN is not a familiar name. No known links to Baden.
All I know is Joseph KARL (c1810-1884) and Anna HOHENBERGER or MOHENBERGER KARL (1819-a1891)left Austria. Children were:
Franz Josef (1847-1911) My paternal great grandfather
John Henry (1854-a1911)
This family settled in Pittsburgh, PA.
I hate to say, I am at a brickwall. I'm interested in anything you may have found.