This photo is Nathan Buck Padgett (adult) born Apr 12, 1858 Lincoln County,Kentucky
died abt 1896 Rockcastle County,Kentucky
The other adult is his mother Sarah Simpson Brown born Dec 4, 1836 Rockcastle County
died July 21, 1910

Children are left to right: 
Absolem Padgett  1883-1951  died in Indianapolis, Indiana
Eugene   Padgett  1880-1916   died in Indianapolis, Indiana
Michael  Padgett   1879-1941   died in Indianapolis, Indiana