Frase.. you have opened the can of worms now... you are going to hear a bunch of pro and con posts on Jamaica. I have never been to Falmouth but it is fairly close to Montego Bay.
Personally I would never book a cruise because it stopped in Jamaica. Most of the time that is a reason for me NOT to book a particular itinerary. BUT like I said, everyone has their own opinion on Jamaica, so I will let you make your own...
Carnival Cruise Lines:
Fantasy 90, Celebration 95, Victory 05, Conquest 05, Spirit 6/06, Freedom 6/08, Holiday 7/08, Victory 6/09, Valor 9/09, Dream 6/10, Splendor 8/10,Conquest 8/11,Magic 11/11,Triumph 4/12,Spirit 7/12,Freedom 11/12, Triumph 2/13 - The fire cruise
NCL Dream October 2006, RCCL Mariner OTS June 2007, Celebrity Silhouette 2013