I do agree with Raptor. I've heard over the years that returning the baby is probably more dangerous to the human than the chick--like being dive-bombed by agitated parents, or falling from your ladder in the process. If they keep falling out, then there's something other going on (siblings competing for food and space, or a poorly built nest).

Years ago we had two bluejays build their nest in a rather small pine in the back yard. The kids were thrilled about it. Came a huge heavy wind and rain storm one night and the tree was too limber (thus mobile) and it pitched the baby out. We found it in the yard the next morning, dead from exposure.

SRS