Samuel Baumgarten (born c1729, died 1798), bassoonist, and his wife Mary (born and died ?) had at least 11 children. I previously have mentioned the three daughters, Marie, Charlotte and Lucinda, whom I have been able to trace further than their baptisms here. Marie was my great great great great grandmother, married to Gaspard Weiss. Although they married in England, Marie and Gaspard moved to Mulhouse, France in about 1783. Marie died in Mulhouse 16 April 1798.
I was looking at Lucinda again yesterday, as the marriage record of her daughter is available to view on FamilySearch. Lucinda Worrall Baumgarten, like her sister Marie, moved to Mulhouse. She married Paul Blech in Mulhouse on 12 November 1787. They had at least three children, one of whom was Lucinde. Lucinde Blech married Auguste Debaute on 9 April 1831 in an unknown French protestant church. I took some time to study the names signed under the marriage record entry, presumably the happy couple, the minister and some witnesses. The names included: Auguste Debaute (the groom), Lucinde Blech (the bride), H Glück, Z? Engel, Laure Glück, Marie Heilmann, Le Lieutenant Gen.al B? ??? (can't read it all, but very intriguing!), [squiggle] Baumgarten, ? Debautes, S. Baumgarten Dollfus, Julie Roederer, ? Roederer, David Roederer, J. Kohler and P. Heilmann.
It was the Baumgarten surnames that caught my eye. Although the mother of the bride's surname was Baumgarten (Lucinda) and also her aunt's (Marie), I didn't expect to see any Baumgartens there, unless a male member of the Baumgarten family had come across from England too.
Googling "Baumgarten" and "Mulhouse" revealed a number of Mulhouse-related genealogy websites, mostly the same ones that come up when searching for "Weiss" and "Mulhouse". And I found a William Baumgarten who married an Anne Catherine Schlumberger, but the most telling point was that William Baumgarten was "l'époux est originaire de Londres (Grande-Bretagne)" - he was originally from London, Great Britain, and was also born in approximately 1762. Marie, Lucinda and Charlotte Baumgarten had a brother William who was born around 1764 (at least, that's when he was baptised).
A search on Gallica revealed a couple of references to a William Baumgarten of London in a cartulary for the Schlumberger family, including one which noted that he had a personal fortune of 36000 livres (a lot of money). So where did his fortune come from? I have found no references to him back in England. Was it an inheritance, from his father? Could his father, a professional bassoonist and bassoon teacher have possibly earned enough to leave an inheritance like that to one of his children?
Looking for other Baumgartens on FamilySearch in the same collection as the marriage record for Auguste Debaute and Lucinde Blech (France, Protestant Church Records, 1612-1906), I came across an entry which referred to a Baumgarten and a Schlumberger - "Guillaume Baumgarten" and "Catherine Schlumberger." Guillaume is the French version of William, plus its definitely possible that an Anne Catherine might go by her second name... Looking at the actual record (a marriage record for Guillaume and Catherine's son Médard) it recorded the place of birth of Médard as Mulhouse. Bingo! So I think we can assume that William/Guillaume Baumgarten moved to Mulhouse from London, and was most likely the brother of Mulhouse residents Marie Weiss née Baumgarten and Lucinda Blech née Baumgarten.
The final two things I was curious about were (a) which of the Baumgarten siblings arrived in Mulhouse first, and (b) considering we don't know where Samuel Baumgarten was born, was it likely that they were returning to their father's birthplace?
Gaspard Weiss returned to Mulhouse with his wife Marie and their children in 1783. Both Lucinda and William were married in Mulhouse, France in 1787 - Lucinda on 12 Nov 1787, and William on 9 May 1787. It suggests to me that Marie arrived in Mulhouse first, William and Lucinda followed at some stage, met people, fell in love, married and stayed. As for whether Samuel Baumgarten originally came from Mulhouse, I can't find any records of Baumgartens in Mulhouse going back as far as his reputed dated of birth, so it's unlikely.