Wash it with Murphy's Oil Soap and fine steel wool. Of course, you wipe it dry right away. Then if the paint comes off easily, you can move to the Howard's products. I refinished a vintage dressing table with Howard's products in the walnut. It looks good. Or would if I could find a antique brass handle with a ruby colored insert with holes 4" OC.
Miriam, an acidoliphlus product from the natural food store refrigerated case is much stronger than any yogurt available.