I poured water to put out the fire in the fireplace!?

Just let it go. The smoke going up is what it's supposed to do. If there is shield or door that covers the fireplace opening us it. However with the dampers open the heat from the house will also go up the chimney. Don't put anymore water on the logs if it gets to the brick it will crack them and you will have bigger trouble. You could wrap the log with a wet towel and toss the whole thing out into the rain. But be careful. When the fireplace stops smoking close the damper lever.