I wouldn't recommend "Goof Off" for this (it has an oily feel).  Acetone
and or denatured (ethyl) alcohol should remove the oils.  Use a heat gun
out doors on the wood and wipe the oils off.  I would finish with shellac
using some alcohol based leather (shoe) dye for color if needed.  A drop or
two of the leather dye can be mixed with shellac directly if you like, and
you can control the color by adding more coats.

-- Claudio