This is the only picture I could find of a "vertical aftershock" bike.
https://i.******media.com/CZZbZV4jXv...SiQ.jpg?w=320&
For some reason I can't hotlink to it... sorry... linky no worky.
It's a 20" "full suspension" bike.
From the way the OP talks about it, it seems like the pedal has some of those plastic toe clips on it, and he lost a nut for it.
I'd go to your local coop/bike shop, they're bound to have it.