Here are the names as I read them, and I think you have a match:
Record from 1833
> Johannes Joachim Friedrich Reimer, Weberknecht zu Beselin
> Sophia Christina Margarethe geb. Schröder
> Diderich Carl Christoph Johann Joachim Theodor
Record from 1840
> Johann Joachim Friedrich Reimer, Weber zu Fresendorf
> Sophia Christina Margarethe geb Schröder
> Christopher Heinrich Friedrich
"Weber" and "Weberknecht" both mean weaver. Fresendorf is quite close to Beselin (about 3km across the river Kösterbeck according to Google).