I briefly pondered 'Tweety's Farm', which is a Chicken Run reference. Surely I'm not the only one who loved that movie? You remember, claymation done by that Wallace and Gromet guy. had a great line in it: 'That ginger one, she's the leader!'. We have a ginger one, and sure enough, she's the leader, always trying to escape.
The name I settled upon was a way to thumb my nose at my jerk neighbor. He must have overheard me talking about chickens, and got upset, so he stormed over and tried to intimidate me into not keeping those 'dirty, smelly birds'. I told him I wasn't building a chicken coop, but was instead building a tool shed.
So now I plan on mounting a plaque over the door that reads TOOL SHED.