None, really. Jamaica is a medium-sized island in a large archipelago (The Caribbean Islands, not far from the coasts of the Americas). There are no similar large archipelagos with a variety of sizes of islands anywhere off the coast of Africa.
Other respondents suggest that you might be asking about ethnic origins. If that is the case you should have made it plain in your question. Indeed the population of Jamaica which has ancestry in Africa came via slave trading posts on the west coast of Africa, but from areas up to several hundred miles inland. In those times there were no formal countries (as noted by Europeans) on the west coast of Africa, but there were several powerful "empires" in that general part of Africa. Most of those countries as defined on maps date from European colonial times, from the 1880s onwards. Many of them changed their names when they were decolonised in the 1950s and 1960s.