Brunswick,
in the center of the roots is the growing center of the plant. Often it will appear like a small, greeenish nub, but it might appear brownish from small, sheathing scales (all that's left of the leaves in this species). This growing center will also add a little bit of length over time just like a teensy version of a vanda's central stem.
The newest roots will emerge toward the tip of this growing center and arc out into the air if it's exposed. The way these plants grow in the wild is with that tip underneath the older roots, so new roots emerge beneath the older roots and tend to cling rather tightly to their mount. Here's a pic of a wild ghost plant. Note the brown, dead, old roots at the top of the plant and the newest, freshest roots beneath the older roots.
Photo Page 21 for the Ghost Orchid (Dendrophylax lindenii)
I hope that explains it better.
---Prem