Not here. You can get an ID for a kid, but there's a fee, of course.When I first moved and got my DL, I remember that kids could get free id's to use for things like applying for jobs etc. Dont know what the requirements were, but even if you need a BC, the hospital gives you one free when your born. Well, the cost is probably wrapped into the hospital stay, but you get the idea.
And you don't pay for the birth certificate when you get it through the hospital (at least we didn't) but I'm sure I had to pay for the 2 additional copies I requested.
And if I lost those, I would have to pay a fee to get another copy.