The Hinrich Göttsch you mention, born about 1813 (the VZ life data often even deviate by several years), is a servant in the household of the Hufner Stoltenberg in Bendfeld. He does not have to be a native of Bendtfeldt (Bendfeld) or the parish of Gi(e)kau, although he may have been more or less distantly related to the farmer's wife Göttsche.
Anyway, I have now found Hinrich Gottsch (Göttsch) who was born on October 16, 1813 in Bendfeld, Giekau. The names of the parents fit.
http://www.archion.de/p/c6d3e3b11d/
The father dies in 1827 at the age of 57:
http://www.archion.de/p/a5fbb5f197/
She does not die until she is 94 on May 4, 1864 in Bendfeld.
http://www.archion.de/p/28482d776a/
How this fits into your family tree I don't know, but I hope it helps.
Viele Grüße
Jan