I think the Amber stars and the Amberlinks are the same birds, just different breeding companies. The Amberlinks lay well as Rob says, and are a cross between the RIR and Light Sussex, like the goldlines but with the cross the other way round. Some are all white, some have touches of brown in the feathering, but lovely layers Mumof4. Do you ever get over this way? as we are picking up 250 day olds on 17th June, but I don't think the hatchery will sell hatching eggs as they hatch them themselves.
I may be wrong on the breeding, but don't think so. If I can find any your way, I'll let you know!