Remember, kids! The only thing between you, a stolen childhood, and the soul crushing work as a breaker boy is the government! Corporations only care about one thing, and it's not YOU!
Lewis Hine was employed by the National Child Labor Committee (NCLC) in the early 1900s to photograph children working in various industries across the United States, including mines, factories, and mills. His goal was to expose the harsh realities of child labor and advocate for its abolition.
Looks like the hat is some sort of oil open flame light source
They look like oil lamps.
https://sandiegoarchaeology.org/historic-mining-helmets/