Karl Gottlob Bach was born 20 Jan 1845 in Sindelfingen. He emigrated in 1864 as part of this group:
sailed Hamburg - New York, Teutonia, arrival 5 Apr 1864
Got Bader, 28, Germany [Georg Gottlob Bader]
Got Volz, 24, Germany [Johann Gottlieb Volz]
Chas Schumacher, 17, Germany [Karl Friedrich Schumacher]
Carl Bach, 18, Germany [Karl Gottlob Bach]
Christ. Eisenhardt, 23, Germany
Carl Grieb, 16, Germany [Karl Friedrich Grieb]

His parents were Jakob Friedrich Bach, weaver 1804-1859 and Agnes Bertram 1800-1867.
This BACH line has been researched back to 1537.

Please let me know if this matches your records
regards
Karl L Held
Liverpool, UK