Here you go, at least how I do it. Doweling with never match and you would have to order it if you wanted walnut. Why bother for an an inch of wood. I made a hole and plugged it in less than 15 minutes, most of which was looking for my Tru-oil.
Here is a simplified step by step. Obviously didn't wait for the glue to dry and didn't spend any time on any portion of it but shows how to do it.
CUT PLUG: (make it long to start so you can handle, sand, cut it)
GLUE & POUND IN: (slight taper on plug will expand and fill voids)
TINT PLUG AS NEEDED: (can use markers)
APPLY FINISH (can still tint/blend and add grain lines if needed)