Everyones on the same page! I saw that second pick and thought, "Does his mother know what he's doing?!". Good job!
You might place a frame of brood in there with the captured swarm, might help them decide to stay put. Uncapped larva might be best? And yes, feed, feed, feed. At least until they get some frames drawn out. At that point make sure they aren't filling the new cells with syrup, and if they aren't, feed, feed, feed. I think. Ted.