However, I think you will likely be against the nuclear option. I found the following on the internet.

"Step 1 To create a poultice, fold or stack plain white paper towels to make a thick pad of eight layers. It should be slightly wider than the stain.

Step 2 Wear rubber gloves and make sure there's good ventilation in the kitchen.

Step 3 To remove oil-based stains such as those from salad dressing, cream, peanut butter or hand lotion, first clean the area well with ammonia and a clean rag. Soak the paper-towel pad thoroughly with acetone. Oil stains are usually rounded in shape, have darker centers and penetrate more deeply.

Step 4 To remove organic stains such as those from wine, ink, tobacco, coffee, paper or flowers, soak the paper-towel pad with hydrogen peroxide. These stains tend to be irregularly shaped, often following the form of the object causing the discoloring.

Step 5 Cover the stain with the soaked pad. Tap out bubbles and press firmly to ensure full contact with the stone's surface.

Step 6 Cover the pad with a piece of plastic wrap and tape its edges to the counter with masking tape.

Step 7 Leave the treated surface undisturbed for 2 to 48 hours, depending on the age and depth of the stain.

Step 8 Remove the plastic wrap carefully and leave the paper towel until it dries completely.

Step 9 Discard the paper-towel pad. Wipe down the area with a clean, damp rag.

Step 10 Repeat with a newly soaked pad if needed. The stain may require three to four applications to lift completely.

Step 11 If the stain resists several applications of the poultice, contact a local business that specializes in fabricating or cleaning stone countertops to get advice on the type of stone in your counter."