I have obtained the naturalization records of Johann Frederick Reck and he states that he was born in Baden, Germany (not Baden-Baden). Baden is about 35 kilometers southeast of Brenmen between Achim and Speckenholz. He was born in 1855. Not sure what faith the family was in Baden back then but in Newark, Ohio, USA it appears he was connected to the Lutheran faith. Perhaps there is a similar church with birth records for that time frame in Baden.