Well, if you've clawed your way up the family tree and spent $$ to prove your autosomals, you should be set for parents, the four grand parents, the eight great grands, and 16 great great grands, yes?
To get reliably farther back in time than that you'd need Y-DNA and mtDNA
Presumed you have a paper trail of documents that confirm relationships on backward in time, to this William King? That none of this is without documentation?