Christian BARNES and Latham STULL ~ Canada

The parents of my 4th great-grandfather Christian BARNES (1771-1868) died in 1778 during the American Revolution when he was about six or seven years old. Various family trees state his father George BARNES (c.1746-1778) was a Lieutenant in the British Army, but no source evidence has been found as yet. Family legend also has it that Christian was taken in by the neighbouring STULL family who were most likely living in Schoharie, New York at the time. Can researching the head of the family Lathum STULL lead to any further clues on George BARNES, or where his son Christian was living between 1778 and 1797 when he arrived in Ontario, Canada?