In the 1820s El Pirata Cofresi (the Puerto Rican pirate Roberto Corfresi), served a concoction of pineapple, coconut and white rum to his crew to keep morale high. This is the first historical mention of the combination of these ingredients so I think the pirate wins - besides it's about pirates and who doesn't love the idea of pirates and rum?
Shiver me timbers! Thar be treasure in them thar martini glasses! And if you have one too many just remember that dead men tell no tales - Yo ho, Yo ho!