As mentioned in another recent thread, Dr Quality's Sea Breeze has free pickup and drop-off.

Hungry Lion advertises free pick-up, but the one time we called in January we were told that they didn't have a driver that night. Not a big deal since we were actually within walking distance.

Tensing Pen has free pick-up if you're dining at The Lodge. The driver even hung around and gave us a ride back for a small fee.

When you get to your hotel, check out the 2016 Negril Guide. Almost every restaurant advertised in that book claims to offer free pickup.