I checked the Kentucky tax records of Warren Co for him, and tracked him through 1815 when he vanished (this was the year Allen Co. was formed from Warren Co., so from his POV, he probably stayed put and Warren Co. vanished, but never mind...)  The appearance of Jonathan BRINSON in 1809 suggests he was a son of Stout, probably born about 21 years earlier (I think it was when they reached 21 that they had to start paying taxes), or in about 1788. Oh, and the "f" below is just a long "s", not really an "f"...

AGLL V20-0372   -- Warren Co., KY
1797
Brinson, Stout  125 ac on Difficult     1 - 1 1 2

1798 - no book

1799
Brinfton, Stut  125 ac on Difficult     1 2 2 1

1800 (&1801?)
Brunson, Stout  229 ac on Difficult     1 - 1 - 3

1801

1802
Brunson, Stout  229 ac on Difficult     1 - 1 2 4

1803
Brunson, Stout  229 ac on Difficult     1 1 1 2 4

1804
Brinson, Stout  229 ac on Difficult     1 - 1 2 5

1805
Brinson, Stout  225 ac on Difficult     1 1 1 2 5

1806

1807
Brinfton, Stout 299 ac on Difficult     1 - 1 2 6?

1808
Brunson, Jonathan                       1 - - - 7

1809
Brunson, Stout  229 ac on Difficult     1 - 1 4 7
Brunson, Jonathan                       1 - - - 1

1810 - no book

1811
Brinson, Stout  114.5 ac Difficult      1 1 5 9

1812
Brunston, Stout 114+ ac on Difficult    1 1 5 8
Brunson, Jonathan 114+ ac               1 - - 1

1813
Brinson, Jonathan 114+ ac on Difficult  1 - - 2
Brinson, Stout    114+ ac on Difficult  1 1 6 4

1814 - no book