I think your action was reasonable. I have done essentially the same thing, but in the spring not winter. Keep a close eye on the population in both hives. The bees are slow to build population this time of year. It may be necessary to move some brood later to keep the weak hive with enough bees.
I will watch them closely. Thanks for the positive response. First year and learning lots.
you have in South Carolina high temperatures, 17C on days.
An emerging brood frame is best way to add bees in the hive.
Bees may kill a queen as a foreign.
I thought about that and worried that the foraging bees could kill the queen
So I spread a white cloth under the hive entrance to look for her. So far no dead queen on the cloth.