thank you very much for your help, it's greatly appreciated.
Well I think there's only a small chance that this birth is recorded. I rather doubt that it is recorded in civil records, but I thought there may have been a christening record.
Anyway, a birth / christening record for the child Friederika Klein in Gündlingen, Baden, Germany from July 1846 says that the mother Magdalena Klein was "geb. zu Arnheim in Geldern 3. Mai 1817". So the mother of Magdalena, also Magdalena Klein would have been in Arnhem at this time. Mother Magdalena Klein is listed as a house maid. She had another child in 1812 in Gündlingen, Baden.
I try to verify if Magdalena Klein (the mother) eventually lived in the household of a Vital Zipfel from Gündlingen, Baden. Vital, a widower with some under-aged children intended to emigrate to America in April 1817, but didn't. He ended up in Gündlingen.