The white hen is a cuckoo under her "coat of white". White is not actually an color, it only "stops" whatever colors or patterns the bird has from showing up visibly.
the gene that makes the cuckoo or regular bars is sex linked.. you unintentionally did a sex linked pairing with this hen, as you are finding out.
Non barred roo bred with cuckoo or barred hens will always give barred cockerels, non-barred daughters. That is the very premise of how black sex links are bred- most often a RIR bred to a barred rock.
It has to be that way, because the other way around- barred rock over RIR hens will throw all barred chicks in both sexes.
The sex linked cross is basically an one time thing... you cannot get the same results using the cockerels, they will throw barred chicks in both sexes if bred.
with the crosses you have the potential to make lavender cuckoos. Either breed the cockerels to a lavender hen(will get solid blacks, cuckoos like those, solid lavenders, lavender cuckoos- all of them in both sexes) or to their sisters- same color possibilities but much lower chances of lavender showing up(25% compared to 50% out of a cockerel bred to a lavender)