Flues were generally not used at that time in most farm
          houses, and maybe not in any houses, in the U.S. generally.
          There may have been exceptions: others may know better.
 
          The hearth of one cooking fireplace with a stone foundation
          that  I investigated is about 2 meters by 1 meter and is
          made of bricks over a clay base.  Beneath the bricks we
          found spoon handles and spoons, along with some shards of
          pottery.  This fireplace is at site 18FR696 which is a farm
          house built in 1818.