Carol, needless to say, Spanish moss is quite native to the deep south as are all kinds of lichen. Spanish moss grows symbiotically with my epiphytes that are mounted (after all, it is a tillandsia), supplying not only shade but also humidity as it transpires. A bonus is that Spanish moss flowers, and in fact, is flowering right now.
Don't get me wrong, I go out of my way to find native woods and even Portuguese cork with lichen growing on them. That alone tells me that the wood is receptive to mounted plants. I just have never added lichens to any of my woods. I not only have greenhouses but also that new solarium, so having lichen grow for me would probably be pretty easy. Heath may find the same thing. I just don't know.