Yeah, it would be the nice neighborly thing to do to tell them to keep their chickens off your property or you might be force to take action. It would save your ammo and hurt feelings less if you gave them a chance to take care of the situation. Hopefully, they will be properly mortified that their flock has been harrassing you and get the clucks under control
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But after being notified, I think you are within your right to shoot, altho I would hope it would not come to that.
If it happened to me, and I did not want chickens and they were wandering on my property, I would catch them and give them/sell them to a more responsible owner.
Saying that tho, if they are new to chickens, I would give them a grace period to figure out how to keep them contained. Sometimes even putting up a fence those darn chickens are sneaky and you won't know they can fly or use bushes as a way over until they are already escapees. Please don't shoot them or give them away unless the neighbors don't even bother to try to resolve the issue.
And many people here use the egg bribe- which may be nice for some, but free eggs does not always make up for the chicken poop all over your porch that gets tracked thru your house when you try to take you morning coffee outside your own home.
I have chickens, and I love them but I KNOW they can be a bother to the non-poulrty lover.