If you ever saw the James Bond movie Dr. No, some of the music was by Byron Lee and the Dragonaires , and it's kind of between Mento and Ska. Kingston Kalypso - Three Blind Mice from 007 Dr.No
Also, Jamaican singer Desmond Dekker had a top ten hit in the U.S. in 1969: Desmond Dekker- "Israelites" 1969 [The Old Testament is a common them in Jamaican music]
Thanks for the background and links! I was never partial to Jamaican music.