I've always said the male first, and that's the only way I've ever seen it. In fact you usually see breeders saying that they have a such and such rooster "over" such and such hens. So that would be like, "These eggs come from a Rhode Island Red over barred rocks." You wouldn't say you have the hens over the rooster, because, well, you don't. Literally the rooster is over the hens during mating.
I also disagree that it's easier to know the female parent than the male - maybe in dogs and horses, because you see them get pregnant and give birth and then raise the young. Not so with chickens. I have a breeding pen of cemanis with one rooster, and I darn sure know he's the father of any chicks I hatch. I have no clue which hen the egg came from, and no clue which hen is the parent, unless I mark the hen's vent. And a hen will hatch any old egg if you let her, she doesn't care or know if it's hers, so you can't even say that the chicks a hen is raising are definitively hers.