Friedrich was born about 1841. He was the son of Johann Baumgarten and Friederike Siefarth. He passed away about 1890.
This is all I have found for the present.
Update, 1/28/2023: Another possible record: Name Friedrich Baumgarten, Spouse Sophie Baumgarten, Birth 1841, Residence xxxxxxxDomanialamt Lübz, Mecklenburg-Vorpommern, https://search.ancestry.com/cgi-bin/sse.dll?indiv=1&dbid=1066&h=797925&tid=&pid=&queryId=48e847f4d9453e8a3384a41663991d39&usePUB=true&_phsrc=dhX449&_phstart=successSource. Found at Ancestry.com. Fetterly-28 03:37, 29 January 2023 (UTC)
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B > Baumgarten > Friedrich Christof Leopold Baumgarten