The paternal relationship between Rudolph Hoffmann and his daughter Edna Hoffmann is confirmed by the direct inheritance path of autosomal DNA down to their DNA tested descendant WL.

The segmental (via DNA segment triangulation) and total DNA shared between WL and other confirmed descendants of Andreas Ludwig GRÜNKE/Mathilde HÜBNER is consistent with the expected ranges for their respective relationships. Since WL descends from Andreas Ludwig GRÜNKE/Mathilde HÜBNER through Rudolph Hoffmann and his daughter Edna Hoffmann, the presence of significant shared DNA between WL and other known descendants of Andreas Ludwig GRÜNKE/Mathilde HÜBNER validates the generational links along this paternal line.

This supports the conclusion that DNA was passed from MRCA couple Andreas Ludwig GRÜNKE/Mathilde HÜBNER through Rudolph Hoffmann to Edna Hoffmann, and ultimately to WL, confirming this direct ancestral connection through multiple generations.