I'm actually going to be terribly lazy for this particular post. Not because I don't eavesdrop...but because I do.
Every single day.
Now, I don't know how many of you have written child-characters...but if you ever need something to work with, I offer you my daughter's twitter account: Lucy Is Tweeting.
I started it when she was about 3 - and she's 6 now. (Though to be honest, I haven't updated it in quite a while. The follower count has dropped off some as a result, but she used to have a little following.)
It's basically random tweets of things I've overheard her say. And while she has the usual childlike fixation on farts and potty humor, sometimes I'm really pretty boggled.
Honestly, I'm not sure you could actually use these as dialogue and have anyone believe they were real, but hey - here's a few to get you started:
She comes by it honestly, though. >_<