I was very happy to email with Don Fink recently. He and Dale Fink did a lot of research on the Fink family in Tennessee and beyond.

[Nathan]
So you don’t have any info on Jacob K Sr (1820-?) after he moved to Greene County? I have him in the 1860 US Census, but nothing after that

[Don]
No, we don’t have much on him.  Here’s what we figured out though.  Don’t know if it’s actually correct, but here’s our best guess.  I’ll try to keep it brief.

I don’t remember whether or not we found him on the 1860 census or not.  I’ve spent hundreds of hours probably, looking at census records.  I just don’t know right now if I found him.  Maybe we did and that’s how we knew where he went when he left Kendrick’s Creek.  John Michael Fink and Sarah Pickens Fink had 12 children.  2 died before age 1 and 1 never married.  That left 9 to produce descendants.  Dale wonders (wondered) why almost all the children left Kendrick’s Creek and never returned.  I told him that it was because, as was custom at the time, the oldest male inherited all the property of the father.  That meant all the other boys were left out of any inheritance of property on which to farm.  That one boy that inherited every thing was Dale’s great grandfather George..  (Dale had never considered that)  George Washington Fink was the first male born that survived.  My great grandfather Robert Jefferson Fink was the 12th child and he left there the first time when he was around 20 yrs old.  I believe he moved to Missouri with his older brother Michael Anderson Fink.  I believe your 3rd great grandfather Jacob K. Fink moved south to Green Co. with his younger brother Samuel Creg Fink.  Strangely enough, the other Fink’s that live in Kansas descend from Samuel Creg Fink.  In my research I learned that my great grandfather Robert lived in 2 or 3 different places in Kansas after before settling in Arkansas. Actually they bounced around Kansas & Missouri and finally settled in Arkansas.  My grandfather mentioned visiting relatives in Kansas as a young boy.