When you burn a hydrocarbon - any hydrocarbon- the bonds between the hydrogen and the carbon atoms are broken and replaced with more stable bonds between hydrogen and oxygen and carbon and oxygen. So in addition to the 15 lbs or so of water that was present in the wood and is given off as water vapor, your stove is actually MAKING water as fuel is burned and oxygen is fed from your home to the fire.
Ideally, all of the hydrogen in the wood would be converted to water, and all of the carbon into carbon dioxide. What you are calling smoke is mostly water vapor and carbon dioxide just like the exhaust of your car. Other things are present of course - including soot particles that make up the stuff you can actually see.
in an efficient and clean buring stove, there should be very little soot going up the chimney, the vast majority of the weight of the wood should be converted to water vapor and carbon dioxide.
to keep the math simple, assume that hydrogen, oxygen and carbon atoms all weigh the same amount:
, for a 100 lbs of wood call it 20 lbs of water, plus 40 lbs of hydrogen plus 40 of carbon.
40 lbs of hydrogen would mate with 20 lbs of oxgen making 60 lbs of water vapor.
40 lbs of carbon would mate with 80 lbs of oxygen to make 120 lbs of carbon dioxide.
plus you have your original 20 lbs of water which is heated to steam.
ignoring the insignificant amount of ash left in your stove, and the soot that goes up the stack your 100 lbs of wood is converted to 200lbs of "smoke" .
Now just wait for some chemist to correct me with the real math...
Either way, you get the point - nearly everything becomes h20 and co2 - but significantly more than you started with!