Hey Stacy,
A
wood stove will heat the
air, and some heat will be absorbed by the soil or any thermal mass you plan into the space... but when the fire's out, the heating stops, though some heat will be re-radiated from objects that have taken up thermal
energy. A
Rocket Mass Heater heats up a large mass of stone/brick/etc..., and could be constructed so the smoke path runs under some deep growing beds with a mass of stone surrounding the metal stove pipe, so it would warm the
soil. It could also be used to simply store a lot of heat from a small amount of fuel, which would be slowly radiated into the
greenhouse.
When I think of using a greenhouse for season extension, early starts, or even maintaining greens through the winter, the
rocket mass heater approach is what I would be after, though that may not match your goals, or the way you are planning to use the available space. I'm working on a greenhouse design, and your question prompts me to think about a heat source for mine, too.
Best wishes in your
project!