There are three versions of "Jasmine Flower" a*** - Jiangsu, Hebei and Northeast. The Jiangsu one is more euphemistic, the Hebei one is more lively, and the Northeast one is more bold. The above is our professor's class lecture, or more authoritative. As for what you said in Jiangxi is not really, may be the TV station hit the wrong bar. Either that or the melody is different. As for "a beautiful jasmine" song called "Jasmine", is later adapted. Zhang Yimou used this at the closing ceremony in Athens.
Generally speaking, Jiangsu's Jasmine Flower has been more widely circulated.