The dreaded school parking lot...
I was giving this some thought the other day and realized that I don't know the answer, at least not with 100% surety. Even after looking it up again, I can't tell, but here goes.
It has always been my understanding that in KY, you are legal everywhere as long as you stay in the car. From time to time I have to pick some church kids up from the school, and I have always made it a point to either lock my weapon in the glovebox, or never get out of the car. After looking at KRS statutes again, I am not so sure keeping the weapon on my person is in fact legal. That was the way our instructor taught us at the CCW class, but then again, the book really doesn't specify that.
I know it probably is a silly thing to worry about, but better safe, than sorry.