I agree,,, with a combination of what Iddee said and Garden Hive.. I would have reduced their space and given them some brood and young bees.
I have NUC's to pull the resources from, so I dont have to compromise my stronger production hives for this.
I am curious what purpose giving them a frame of no brood serves? Why not just give them a good shake of nurse bees? The more bees you have the more eggs the queen will lay, and vice versa.. I understand that part, but I also would wonder, if your going to GIVE them extra bees, why would you do it without giving them the brood as well? Capped brood will emerge soon, and they will see this hive as their own, they will greatly strengthen the hive, and as mentioned above, the more bees, the more the queen will lay...
THEN, when I had them on the road to recovery, I would re queen them. There is a reason they are weak.