I'll share my own experience on this topic - I'm not sure if there is a lesson to be learned from it, but hopefully you can glean something of value - or just be amused, whichever.
Going on seven years ago now I moved from Raleigh (a big town, at least by NC standards) to Siler City ( if this was DnD, it would be a hamlet) to be able to live on a house with greater than 1/3 acre of land (10, to be exact). Among the myriad of complications this produced was the lack of a gamer base. It took me nearly a year but finally I was able to organize games at a local book store. The gamers I found were all juniors in high school at the time - I set a limit of 15 years old - no real basis for it, but anything higher and I slashed heavily into the gamer base...these were sad days.
There were exceptions - a brother and sister, one 14, one 13, really wanted to play. They showed maturity (something that is not always directly correlated with age) so I let them play. All this was very new to me since I normally play with peers of my own age. As it turned out, it was a learning experience, for all of us. I had to often reign in the players - they had a boundless well of energy that would sometimes drive them to boredom or distraction or ramblings. Not only that, as it has been pointed out, kids that age can be just as crude as any adult, without the filters, so since we were in a public book store I had to check them on that. However, because it was public ( I wasn't about to invite a new group, all strangers, to my house, at least not at first), I did not bother with contacting individual parents. THe store owner was chaparone enough for me.
So this initial experience went fine after some fine tuning by the DM (yours truly) to adjust for their playing style. And then one day the store owner said he had a young kid that wanted to join. I asked how young and his reply was that he wasn't sure, but he was very mature for his age. Hind sight is a devil of a thing...
I left the store owner with a vague - "I'd like to meet this kid sometime, and maybe we can squeeze him in." What I got was a boy showing up at my next gaming session with books and dice and a character. A boy that looked like he was 7.
SO, it ended up the boy wasn't 7 - he was 10, going on 11 as he told me a few times. He was a small kid, and very articulate, but still..he was a little boy. His mom worked at a nail salon next door, and the boy had nothing to do the whole day. Apparently the book store owner had said it was fine for him to join so...for better or worse, I let him in the game.
I'm not sure if all 10/11 year olds are like this, or if it was this kid in particular, but he seemed to have a taciturn case of ADD, where at times he'd sit quietly listening, and keep up with the group, and at times he'd be bouncing (literally) on his chair, or standing on it, or rolling on the ground..sigh... Don't get me wrong though, it wasn't constantly like that. Although the other players shut him out early on, dragging him around in the game like a mule, barely paying him any mind at all, I split my time evenly between all the players. Quickly I realized that for every 4 or 5 hairbrained schemes that the boy had, he had 1 really really good idea that would have spared the party much grief...if they only listened.
It all came to a head during a nonencounter. The party was traveling by wagon from point A to point B, an activity that would have not normally warranted any RPing. The young boy was playing a wizard with a nonstandard assortment of spells. He decided to sneak off from the wagon, and started to use glamors to imitate the sounds and voices of orcs in the woods, whilst exclaiming that, alas, there were orcs in these woods ready to attack. THe rest of the players groaned and sighed and told the player to get back..but I gently reminded them that, in game, they heard the wizard exclaiming about orcs, and then actually heard said orcs. After a number of rounds, and a good bit of the entire gaming session where the party earned no experience or gold ( and the DM had some truly good chuckles ), the wizard's character found himself tied up, in the back of the wagon.'
All good fun right? Well...then it got a shade darker. My wife was in the game, and she was playing a barbarian. She decided that it was proper for a frustrated barbarian to not leave it at that and I couldn't well argue. So she smacked the wizard across the face and told him to not do that again.
OK, well, that was that.
Until the rest of the party decided that that seemed like a good idea. There was noone that was lawful good in the group to put a stop to things so...to my chargrin, the party lined up like a scene from Airplane (if you get this, you are >30) and took turns administering subdual damage to the boy's characater while the poor boy squirmed in his chair and made some futile escape artist rolls. And if I wasn't feeling bad enough about the whole thing, the last player steps up - he was playing a minotaur. His smack was enough to KO him from subdual damage even before rolling the dice.
It was a beating, and the last time I was going to run anything that crossed the line between "gaming" and "babysitting". Don't know if that was any help at all since 16 is a far cry from 10 going on 11, but there ya go..