Actually, the Ohio statute does NOT specifically allow it; all it says is that an exception is made for nursing a baby -- it does not address the "while driving" claim.
But look at this statement he made:
She takes the trouble to research the law before she acts.
Does that tell you anything? It tells me that these people spend their lives parsing and skirting the laws.
Babies do not have to be in a five-point harness. And they can be in the front seat in a rear-facing car seat as long as the airbag (if there is one) is disabled. It is quite easy to remove a baby from the one-button kind of carseat that just slips over baby's head. (it's much easier to get 'em out than put 'em in.) Maybe this female stopped and let the baby "latch on" and then drove down the road. It was not smart.