I'm becoming addicted to the British Film Institute's Edwardian footage. Check out this 1901 clip of some children playing (a bit roughly if you ask me) with some bunnies. Lots of bunnies:
I'm not sure what's up with the kid who has no underwear or diaper. I think it may have been common to let the kids run around like that if there wasn't a special occasion and there was nothing the child could soil, like a carriage seat. Keeping up with laundry was hard enough in those days without mounds of diapers. Rural Chinese still put kids in split pants until they are toilet trained, so I would think it's a similar concept, although pretty disgusting to our way of thinking.