Wood burning and carbon dioxide or monoxide?
A good reference to read is Laboratory and field investigations of particulate and carbon monoxide emissions from traditional and improved cookstoves Atmospheric Environment February 2009, Pages 1170–1181.

Unforntunately, there is a significant amount of carbon monoxide, from 29 to 118 grams of CO per kg of wood.  

They find that the drier the wood, the less CO, but don't expect to completely eliminate CO.