Singapore twins? Just kidding. I don;t know! (yet)
I have seen people 'braid' plumeria like they do ficus and some other things...I know from my own experience that once plumeria get really old, (and even when NOT really ole) they can put out roots along their stems that just sort of hang there. Perhaps when a branch touches another for a period of time, these 'adventitious' roots grow into the opposite stem and they meld.
DO you have a photo?? Sounds very interesting!