It should, it's the barring in the mother that is the key. The coloring of the barring I wouldn't think would make a difference. I would put her back with the flock, but keep an eye on her. Glad she's doing better! As long as the right hatching eggs make it to the right place, I wouldn't think they'd care what was written on them. Mareks is a huge issue on the East coast from what I understand from other breeders I talk with. It is around and most flocks have probably been exposed to it through wild birds. There is a great Sticky on vaccinating for Mareks. The issue IMO is that the vaccination keeps you from seeing the symptoms, so you could have a bird that is a carrier, but you won't know it. Deb is correct in that if you let a bird recover from Mareks, it will be a carrier for future birds. It does not pass through the egg to offspring, though they can contract it from carrier birds, or the environment. All of your birds have likely already been exposed as it is passed through dander and it can even blow in the wind. So it can travel on your clothes/shoes to your other coops. Many breeders, myself included, have chosen to breed for resistance. I will not vaccinate for it, as I have yet to see any evidence that the vaccination does anything other than mask the symptoms. While I have never had any signs of Mareks in my flocks, if I ever do see one with symptoms of it, I will cull that bird. Any that do not contract it will be stronger and pass that immunity on to their offspring. You build a stronger flock this way, but the key is you cannot ever let a bird recover from it - as they will remain a carrier. I know several breeders that breed in this manner and it works well for them. Here is the Sticky on the Mareks vaccine:
https://www.backyardchickens.com/t/39918/mareks-vaccine/0_50