Not sure if this will help or not, but I have knowledge of the surname "BURNES", being connected to the Cherokee Indians.
Thomas Jefferson BURNES married Nancy Jane Mabry, (born in Mississippi), daughter of John Mabry, a Cherokee Indian.
They had 15 children, 11 of which lived to adulthood. Perhaps this is the BURNS, you are referring to. If so, I hope this information helps, and if I can be of further help, let me know. Jan