Baker eggs were planted, by the Feds, in the 30s (I believe) all over the state, including Lake WA. By the 60s that stocking had grown into a rather large run primarily spawning in the Cedar River with some also spawning in the lake itself. To my knowledge, Baker fish haven't been moved around since the Fed hatchery up there closed a long time ago.

The hatchery on the Cedar is using fish that return to the Cedar River. They aren't native to the system, but they are the wild fish that have evolved in the system for about 80-90 years. Which is long enough, as has been shown through research, to have diverged quite a bit genetically from Baker.