I should have mentioned that if there are no eggs in this colony, then the bees will NOT be able to raise their own queen. Have a look inside the Queen cells (if they are still uncapped) and see if there is a larva in there. Sometimes a worker may start laying eggs in a queenless colony (thats a whole lot of new problems). So it is doomed regardless, unless you 1. Order in a new queen or 2. Combine it with the healthier colony.