I know the sort of decorative wood beading you are referring to beveridge; but I can't put a name to it. Galloon is as indicated by boxtops.....A narrow band or braid made of lace, metallic thread or embroidery.( I put trust in my dictionary.)
Hi boxtops...I think we need to find a Cabinet Maker to truly answer the question because your thoughts about Gadroon (or Godroon) are correct. Most dictionaries describe it as being "a decorative moulding, composed of a series of convex flutes and curves".