Hmph!
My hatches last year ALL threw extremely high percentages of cockerels... one big batch of 22 produced only... forgot exactly how many but only like 2 or 3 pullets! Other clutches were something like only one pullet out of 6 and so on. I haven't the slightest idea other than extreme coincidence why the ratios were like that.
Brian never will a daughter with barring, as it's a sex linked gene. He can have a barred son though, if bred with a barred hen. So that barred pullet isn't Brian's for sure.
A barred rock rooster will always have 100% barred offspring both sexes even if bred with non-barred hens.
Also, Brian is not pure for dominant white(it's why his tail is mostly white), evidenced by black flecks on his white area... half of his chicks will have dominant white, half not. That black pullet is Brian's and she didn';t get his dominant white gene.. leaving her with the black gene from either a black or a barred rock hen.
Brian bred with a barred rock will give you some chicks that turn out either all white or start out white then get red/brown 'blush' on the body, or boys that look more or less like red pyles.