Guantanamera and Babalu are not traditional songs, in that their composers and lyricists are known, both being written in the 20th c. Cuban music is wonderful and its style unique (my husband's mother was born in Cuba and may have been a Cubana herself, having been adopted at a time when records were sealed and not discussed).
For some good sources of traditional Cuban song, try http://www.amazon.com/Para-Pilar-Traditional-Cuban-Songs/dp/B000UTZ1M8 , here , and here.