After reading enough advice about how to do this that I should have known better... I used the router to try to shape my headstock. Routers are fast, right? I had made a nice template. I had trimmed with a jigsaw. I have routed harder stuff before...
...but there was one little burr on the last curve of the batwing...and it was right along the grain...
I found the piece about 2 meters from the router hiding in the grass.
Glued it back in place. No way to clamp it so I literally held it in place for a full ten minutes. OK from the front. Not as invisible a line on the back or on the side. Still, it may be what my father used to call a "cheap lesson." It's not in a place that needs to be particularly strong, and may not show unless you look really close by the time I have sanded and finished it. I am sure that there will be plenty of other flaws in this build that will be more obvious by the time I am done ;-)
I will use a rotary tool, or just hand sand to get the shape the rest of the way... slowly and carefully.