George Washington Bozeman is mentioned only once in the "Sketches of the Bozeman Family", pages 130-131.
Mordicai Bozeman had 3 sons, Peter born in 1758, fought in the Revolutionary War, John born in 1760, also fought in the Revolutionary War, and James born in 1766. It gives the children of James and Elizabeth Flowers Bozeman as: (1) Henry Bozeman, born in 1800, married Elizabeth Norwood, lived in Darlington, SC, died in 1874.
(2) Jesse Bozeman, son of James and Elizabeth Flowers Bozeman and grandson of Mordicai Bozeman, born in 1802, married a Miss Beck and lived in Darlington, SC. His three children were William, born in 1825, killed in the Civil War, Peter, born in 1827, also killed in the war and George Washington Bozeman, born in 1830 and lived in SC.


Not much, hope it helped.