I have 2 regions populated and in one of those regions I also have 2 converted and 1 pacified village. At the time that I converted the first village in that region the workers and resources from the converted and pacified villages in that region switched from the city I had in that region to the city in my other region.

In the screenshot the lower region is where the villages are and has the city the workers used to be in, now they are in the upper city which is also getting the resources.