I am a somewhat distant cousin of yours. My GGgrandmother, Margaret (THIGPEN) MAY, was a first cousin to Ashley's father, Green C. THIGPEN. That would make us fourth cousins, once removed. Nonetheless, I have done quite a bit of research on the lines of all three of the original trio of brothers from this lineage who migrated to Texas circa 1856.
The only information that I have for the descendants of Ashley's line is that which I have gleaned from the obituary of his son, Andrew - which is not too terribly much. I would very much welcome the opportunity to share information and to assist you in your research.
Look for a message from me via private eMail within the next couple of days. However, feel free to contact me first if you so desire.