Body oil stains are a common problem with furniture. When the oil stains the surface of upholstery, it leaves a greasy, unclean mark that can be difficult to remove. Wood surfaces typically allows you to simply wipe off the oil residue, but fabric upholstery usually requires more work. Not only must you remove the oil without damaging the fabric, but you must also consider how much moisture you use when cleaning the area. Using too much moisture causes the underlying upholstery padding to become saturated, which leads to mildew and odor development.