I think almost evey animal gets named- some way to identify it without a number, so to speak. Like - the one with the blue eye, or The one that kicks the door frame when she passes through.-I Know one beef cow-- called 'That Black Witch" by my friend. One day, we were sitting down to hamburgers, and there was a gleam in her eye. That Black Witch had been renamed Dinner.
And you know what-- in my small flock of chickens, some got named, some didn't.Naming or lack thereof is not necessarily the mark of factory or family farming. That dairy farmer I talked about-- he also had an excavating business, as well as producing a LOT of hay-- Selling the herd to his daughter took a load off of him (he inherited the dairy from his father),it kept his taxes low, as he 'sold' the hay to the dairy, he can now concentrate on his excavating and tractor repair business, and- the cows actually have someone seeing to their needs that has more than an obligatory interest in them. So, in a way, that dairy-- by treatment of the cattle, went from 'factory' to 'family'