Keep in mind the following facts when looking at the charts:

• Perrin Cooley Sr is said to have been born in North Carolina in 1769. We know the names of his children from the 1858 estate records of his son James.
• Perrin Cooley Jr was born c1813 in Missouri. The 1880 census for him states that both parents were born in North Carolina.
• Perrin C Cooley was born in 1820 in Missouri. Census records for him state his father was born in Kentucky.
• Jim Cooley (FTDNA kit #160752) of Las Vegas is a patrilineal descendant of Perrin Cooley Sr. His Y chromosome matches with Jack Cooley (FTDNA kit #N70352), a patrilineal descendant of Perrin C Cooley.
• Gloria Tanner is genealogically proven to be descended from Perrin Sr, and is matrilineally descended from John's (Perrin Sr, John) first wife, whose name is unknown.
• For now, we cannot rule out that Gloria's and Jack's autosomal matches do not come from another pair of ancestors--nor whether they are Identical By Descent (IBD) or Identical by State (IBS), meaning by chance.
• To my knowledge, no other Cooley who has had the autosomes tested have the same matching segments, which may suggest that only Perrin Sr's descendants would have them. (If true, because of the nature of autosomal inheritance, not all descendants would necessarily have the sequence.)

Again, assuming that the matching segments came down through the Cooley lineages, it is unlikely that Gloria and Jack are more distantly related that 5th cousins. Not only would that place them outside the prediction, there is no clear slot to place Perrin C's father among Perrin Sr's brothers and their sons. But there is another possibility.

We know from the estate records of James Cooley (1796-1858) that he and John had a brother named Perrin. Researchers assume he was Perrin Jr (c1813-1880+). However, if the brother was Perrin C Cooley, we'd have the following, which is in keeping with the prediction...

Rather than solve the problem, however, it creates new ones. If Perrin C Cooley was the son of Perrin Sr, who was Perrin Jr? If Perrin C was James's nephew from a deceased brother, why did James not name him, as he did with the heirs of his deceased brother John?

We may be back where we started--that Perrin Sr had a son who died young for which no records exist. We do know from the 1810 census that three young male children were living in his home, and we know that at least one boy born after that date--Perrin, whichever one he might have been. That's five sons, four of which are identified: William, John, James, and Perrin. The notion of a fifth son, born before 1810, supports the first chart, above.