The paternal relationship between Dixon Hatcher and his son
David A. Hatcher is confirmed by the direct inheritance path of autosomal DNA down to their DNA tested descendant DS.
The segmental (via DNA segment triangulation) and total DNA shared between DS and other confirmed descendants of
William Hatcher/
Mary Smith is consistent with the expected ranges for their respective relationships. Since DS descends from William Hatcher/Mary Smith through Dixon Hatcher and his son David A. Hatcher, the presence of significant shared DNA between DS and other known descendants of William Hatcher/Mary Smith validates the generational links along this paternal line.
This supports the conclusion that DNA was passed from MRCA couple William Hatcher/Mary Smith through Dixon Hatcher to David A. Hatcher, and ultimately to DS, confirming this direct ancestral connection through multiple generations.