This succulent plant has about 1 inch cylindrical parts branching off each other with tiny hairs. It's now hanging down out of the pot and it has gotten rounder at ends with increasing white hairs at the ends as well. A few weeks ago it appeared to grow leaves in middle of pot that are green and furry feeling and that part is about to flower a purplish looking flower. I don't see how another plant could have gotten in the pot. I feel it's because it has never been outside. I live in Tennessee and it has been HOT! Any help identifying would be greatly appreciated!
Drought Smart Plants reply;
This is two different plants in the same pot - the new one probably was dormant as a seed in the potting soil, and the conditions are just now right for it to grow. From what I can see, this looks like a Petunia! You'll be able to tell when it opens, as the bloom is like a trumpet shape.
As for the other little succulent, I can't tell from the picture what it is - it's similar to some of the Christmas Cactus based on your description.
See this page for more on Schlumbergera.
Good luck with your strange companions!