The reason for adding water (or better yet putting them in dampened vermiculite or something like that) is because for chilling to break seed dormancy the seeds need to have taken up enough water. If the seeds had been dried down then a few drops is probably not enough to rehydrate them.
The idea of stratification in the fridge is to simulate a winter in the ground, followed afterwards by germination at warmer room temperature (simulating spring). As I said, they are not intended to germinate while still in the fridge, which seems to be a fairly common misconception that you probably read somewhere.
If you do this outdoors instead of in the fridge, the medium you put them in should be as damp as you would normally make it for seed starting, so that they can take up enough water for the cold to have an effect (it needs to be between 32 and 50F for stratification). If you cover the containers they should not need further watering.