Amazing! I have seen them turning the clutch while sitting and have seen them roll eggs to a different location, but to actually carry an eggs takes some determination. Or maybe obsession is a better word? Bet they would be really good at that party game where people pass an orange (or something) down the line using only chins!
i haven't seen this myself, yet, but have been finding enough eggs in odd places (or just missing entirely, vanished with no trace) with my four broodies to think that they MUST have some way of moving them besides just nudging them along -- thanks for all the detail, folks!