I don't know about cherry trees.  I do have oak trees in the yard, and I have never had a problem with a chicken eating an acorn and dying.  I can't say I have actually seen them eat one either.  Three of my coops are under Chinaberry trees.  I was very worried about this when I found out they are toxic, but the chickens do not eat them.  Occasionally, you will see a peck, but I have never seen a chicken eat one, nor have I lost a chicken due to eating one.  The ducks do not bother with them either.  My chickens and ducks are let out every day except for a few when I am out of town so sometimes they are confined to those pens, but my pens do not have open tops so it is not very likely that the Chinaberries are actually in there with them.  My guineas are in the third coop, and they do not eat the berries.  Now, the horses like to eat the chinaberries so I have to keep it away from them.  The goats love the leaves so they are not allowed in that area.  I was going to plant a Chinaberry tree for shade for more coops, but I am not too sure if I should do it.  I have turkeys again, and they are well, on the dumb side so I think they would eat the berries.