How do you remove fabric paint from treated wood?

20 years ago I had used acrylic fabric paint over the floral pattern on a carved wood lamp stand.Yesterday I scraped it off with a knife.Gentle sandpapering removed the remaining stains on the flat surface.But the carving also has intricate veins and tiny cracks where the sandpaper cannot reach.That again needed to be carefully scraped out with the point of a small whittling knife.It is almost but not quite clean.I'll probably have to paint over it again.Water based acrylic can be cleaned out after a bit of soaking in detergent.