After much thought, this is my best bet.
(click to see full size) (see more about him here, here and he's on the far right in this photo)
Town Hall of Sundhausen, Neighborhood of Schlestadt
The 20th day of the month of November 1842
Birth certificate of Schuller, Jean Jacques of Sundhausen the 19th of November 1842 at 8 o'clock in the evening, the legitimate son of Schuller Georges, age 42 years, profession of laborer, living in Sundhausen and of Busch Marie Elizabeth, age 33, living in Sundhausen, his wife in legitimate marriage.
The child was presented to us, was recognized to be male.
First witness: Beyer Philippe, age 22 years, profession of weaver,
living in Sundhausen department of Bas-Rhin
Second Witness: Schuller Jacques, age 57 years, profession of weaver,
living in Sundhausen department of Bas-Rhin.
The statement was made by the father of the infant and after reading this have signed (signatures of witnesses at bottom of page)
Signed by the civil servant etc.
Is this the culprit?
which translates to weaver - but looks enough like Switzerland to catch your eye,
especially with de in front giving the impression of 'from' or 'of'
What do you think?
In the meantime, I'll keep looking for Swiss relatives, because as you can see on this map it is near enough to be a serious possibility
The pink section (marked with A) is Bas-Rhin, France. To the east
and north of the border is Germany (this area has been much disputed).
If you can see the light red boundaries within Bas-Rhin, I believe the
southern-most one is Sundhausen.