I think what Don is doing is cooping the girls individually. Then on the first day the male is with the first girl, next day the male moves to the next coop and so on, but just one male is used for a group of females at a time. Just that this way the girls are separate so you can identify their eggs. I imagine then when he's got enough eggs from that male/female combo he might wait 2 or more weeks and introduce a new male to the hens. At least this is what I'm thinking would be an easy way to know for sure which hen laid which egg if you can't trap nest.
Okay, that make perfect sense. Why my brain wasn't figuring that out is beyond me. Thanks!