I know this is an old post, but I hope it finds you. I am a decedent from NC that has kept many records of the McEachern Clan of Robeson County. Some records are planned to be passed to me, and as such most are not available directly to me. There is the McEachern cemetery.
http://www.capefearclans.com/Ceme_Selected.html ; it is #13. However the cemetery has come into significant disrepair. The ancestors you mentioned are buried in the cemetery. However if my memory serves me correctly Robert, had a son named Robert that left for the West. My line is from his other son Hector. Any questions, I will try to help. I have pictures from my last visit if you would like them. Some of the older tombstones were broken and buried under 2" of soil. My 1st Cousin has most of the items taken from the McEachern house in Red Springs, NC.