Maybe this might give hints and a possible direction? https://www.newyorkroots.org/ontario/military/war1812hist.htm or even this free book. https://books.google.com/books?id=0pg_AQAAMAAJ&lpg=PA44&ots=-t1mFnFPc6&dq=historical%20East%20Bloomfield%20Alarm%20Company&pg=PA43#v=onepage&q&f=false
Also another free book https://books.google.com/books?id=li5EAQAAIAAJ&pg=PA216&lpg=PA216&dq=halls+brigade+ontario+New+York&source=bl&ots=WBf3aeSoSL&sig=EH7wi_UNFrgqkw237x8wKUbBaCg&hl=en&sa=X&ved=0ahUKEwjNzqKE6avcAhWMTd8KHWk4D8MQ6AEIWDAG#v=onepage&q=halls%20brigade%20ontario%20New%20York&f=false
I think this was the war of 1812 not the revolutionary war. He would have been about 13 in 1776??
In Amos Hall's regiment
https://books.google.com/books?id=2OxBAQAAMAAJ&pg=PA386&lpg=PA386&dq=lieutenant+colonel+jasper+peck&source=bl&ots=VNBw9DazVt&sig=ivltTFWrw1LnOQmgvm8TpqAowQ4&hl=en&sa=X&ved=2ahUKEwjXgrzj7avcAhWEzIMKHVlMCVoQ6AEwC3oECAAQAQ#v=onepage&q=lieutenant%20colonel%20jasper%20peck&f=false
https://books.google.com/books?id=SUDw8-CC3DYC&pg=PA259&lpg=PA259&dq=lieutenant+colonel+jasper+peck&source=bl&ots=4QGEOLPVxB&sig=_0AmRfitt4xPg97s6Hbudvwpzuk&hl=en&sa=X&ved=2ahUKEwjXgrzj7avcAhWEzIMKHVlMCVoQ6AEwDHoECAUQAQ#v=onepage&q=lieutenant%20colonel%20jasper%20peck&f=false
https://books.google.com/books?id=0ibQAAAAMAAJ&pg=PA138&lpg=PA138&dq=lieutenant+colonel+jasper+peck&source=bl&ots=rqCoU8ydGH&sig=GaI6yvv_foT8UVETWIMZ0RjxD6I&hl=en&sa=X&ved=2ahUKEwjXgrzj7avcAhWEzIMKHVlMCVoQ6AEwDXoECAMQAQ#v=onepage&q=lieutenant%20colonel%20jasper%20peck&f=false
http://www.mpnnow.com/article/20141018/news/141019610
Basically it was the start of what we would now call the Army National Guard. Not military but not totally civilian either.
Here is a link explaining squads, brigades, etc.