Here is the data that I have from John Schwarz.
John is looking for a birth certificate this persons:
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Johann Gottlieb Hein, born in Kalzig 10.11.1849
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Johann Christian Hein, born in Kalzig 25.10.1843 ( his brother)
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Anna Caroline Klaer born 15.12.1845 ( wife Johann Gottlieb)
their children:
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Auguste Bertha born 03.07.1875
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Bertha Maria born 16.06.1876
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Carl Gustaw born 06.10. 1877 in Lochau ( polish Łochowo)
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Johann Gottlieb born 10.04.1879 in Lochau
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Pauline Ernestine born 20.09. 1880
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Friedrich Ernst born 15.10.1882 in Griesel ( polish Gryżyna)
Hamburg Passenger List- J. G. Heine:

Hamburg Passenger List- J. Ch. Heine:

Birth of certificate Johann Gottlieb from 1879 y.

Birth of certificate Auguste Bertha from Lochau:

Birth of certificate Maria Bertha:

Kalzig and Lochau on this old map:

Sorry for the poor quality of scans.
I hope that this data will help in the search for these people.