Do “cage-free”,“free-range” or “organic” labels = ethical eggs?

In recent months and years many groups have been focusing on campaigns to turn consumers and companies away from battery eggs, asking that they replace them with “humane” eggs. Many consumers, appalled by the conditions chickens are forced to suffer at battery farms, have been attracted to (and/or totally confused by) labels such as “humane”, “cage-free”, “organic”, and more. But what exactly do all these labels mean, and do they actually help birds in a meaningful way?