Yorkiegirl - me too. had this with dd1 and it's starting with dd3 now as she's sleeping well. I use towels (and breast pads in bra) but it's still painful. Expressing doesn't help as it encourages the breast to keep producing at night.
My breasts never stopped producing at night with dd1, I think because she slept 10-12 hours a night almost from birth which is too long for breasts to not produce for.
I got absolutely NO sympathy on this "problem" from others struggling with sleepless nights, you can imagine. it's certainly a nice problem really.