As luck would have it, I was in a M/C shop today and I heard a lady ask one of the employees if they bought used kids' dirt bikes. The shop worker said "no," so I asked the lady what she had. She didn't even know what it was (Suzuki 80 was all she knew), but offered to show the bike to me. (I had been in the market for a used dirt bike for my son).
Turned out to be a nice Suzuki DS 80, which is a two-stroke enduro-style bike. It started the second kick and I rode it around a bit. It seems to be tuned on the mild side for a 2-stroke, but moved out pretty well. The brakes are pretty piss poor (drum brakes), but otherwise it ran well. No fork dampening, other than friction. Not an MX race machine, but an excellent starter bike.
We agreed on a $650 price. I'm going to clean/freshen it up and give it to my son for his 11th birthday on the 29th, if I can hold out that long. I might put some new number stickers on it. It could use new tires, but nothing that has to be done right away.