in the uk, i'm not sure about the rest of the world, a RIR rooster/cockerel over Barred Plymouth rock hens will produce a Black rock/black star chick, (black rock is a licensed/protected breed and only 1 breeder in Scotland can sell Black rocks,not sure about the rest of the uk or out side the uk, every one else using this cross must use the name black star) these chicks are sex linked, because the barred mother controls the sex link not the rooster, black spots in this cross are female, where usually in a pure BPR X BPR the male chicks have the spots. I have bred this cross myself and ringed the male chicks, who have grown up and crowed.
A barred Plymouth rock cockerel/rooster over a RIR hen, will produce what we call a speckeled rock chick, these can not be sex linked as the cockerel does not have the gene to cause a sex link, this lies with the barred female, and RIR chicks are not sex linked when pure, they there for can not be sexed linked when crossed. this is also a cross I have breed many times, I have also found this cross difficult to get exactly right with less than half the chicks being with in the Speckeled rock specs.
Also crossing a black star with a black star, will not nessaserily give you a black rock chick, this is to do with recessive and dominant genes within the parent birds. it is my understanding however that the Black rock breed with a black rock by the one company able to sell these, will infact result in a black rock chick as the genetics are monitored closer and a better understanding of the genes are known.
in my personal experience, when using either barred parent, all chicks will have some degree of barred pattern with in the feathers. our barred boy with our hybrid laying hens Nova brown, have resulted in 5/6 chicks being born yellow and growing to be white with a barred pattern, all most the effect of reverse barring, like a negative of a photo. I am lead to believe this is because the nova in it's self is a cross and when crossing again will produce a yellow chick (usually). a similar result was found with a barred hen under our RIR X cockerel, but in this instance 5/6 chicks were born black with or wit out the spot on it's head, growing to be sex linked, the yellow chicks usually end up as they do in the above cross. and are not sex linked.
this is all breed from personal experience and monitored due to the very conflicting information found on the internet.
I am currently attempting to find out the results of a cuckoo Maran crossed with the RIR, too see if I get similar results, as Maran chicks are also sex linked, with the boys being lighter feathered than the females. i'm expecting similar results but am excited to find out.
all my birds are kept free range and when not in the "Breeding quarters" (where breeding can be contolled and monitored) I have many breeds running together, including the cuckoo Maran, BPR, specked Orpington, aracunna,milfleur pekin bantum, silver campine, and various crossed breeds from the above. once in the breeding quarters, I collect the eggs for the desired cross 5 days after first mating is witnessed, as it takes 3 days for the hens egg fertilised that day to actually be laid, I wait a further 2 days to ensure no other cross could be possible within these eggs.