I think your labels are correct and they are sex-linked if the sire was a Wellie and the dam was an EO: The barred W/EOs should be male and the non-barred will be female which seems to be how you have it labeled. I think you are right on the EO sexes, too. What an adorable group!!!! I bet that EO/Orp will be very pretty!
If the dam is barred and the sire is not barred, then the male chicks will be barred. The female only passes her Z chromosome with the dominant barring gene to her sons, and the male has none to pass. If the sire is homozygous barred, then all of the offspring will be barred because he will give one Z containing a dominant barring gene to each. If he is heterozygous, then the offspring will be a mix of barred and non-barred, but it won't be related to sex. This is the image I made to illustrate this on my blog, but the barring gene is the same whether it is on an EO or a solid-colored chicken:
Heather, thanks for confirming my labels. As for auto sexing, I guess I was thinking about when they were day olds. I couldn't tell who was who then, but if I had a whole flock that i knew the sire was non-barred and dam was barred, they could be sexed on day one. I was working with a lot of variables.

Love your charts. They really help me understand.