First insure the edge of the wood is straight. If it is not you are only going to have a crooked edge to your plate where it meets the wood.
From my experience, Reeves stuff is butter soft and likely you can bend it with your fingers. While annealling won't hurt, and you should be able to get plenty of heat with propane, if your gaps are slight as they should be, just tap them closed and file the exterior to remove any hammer marks.
Enjoy, J.D.