Of course the kids start getting into accidents, just like the old-timey accidents that killed those other four kids. The kids in each timeline are played by the same actors, either implying that there's some sort of of curse at work here or the producers couldn't afford to hire more child actors after shelling out for those sweet sepia-toned shots.
"Are you sure we can't at least afford fake blood?"
One kid hits his head. Another falls off a wagon (a literal wagon; he doesn't start drinking or anything). And in one insanely graphic scene, a girl has her goddamn arm ripped off!
"NO, MY BUTTER-CHURNIN' ARM!"