1885 Lincoln Co. NM
Riyghaz C. Parsons, b. MA, 34, miner
That's all that I found in Ancestry and FamilySearch.
If you're looking for more info about him in Lincoln County, I'd contact the Lincoln County New Mexico Historic Society, http://lincolncountyhistoricalsociety.vpweb.com/
The City of Las Vegas Museum & Rough Rider Memorial Collection, www.lasvegasmuseum.org/
might have more info about his time there. Successful Searching!