Barbara, When focused on 5th Great (5G) grandparents – this is the 6th cousin (6C) level, and you might have more than one Common Ancestor with each of your Matches. So, the best approach, IMO, is to try to find intermediate cousins, to be sure to “walk the ancestor back”. I am working on a similar study of my HIGGINBOTHAM ancestors, at the 5G to 7G grandparent level (6C to 8C). I have found close to 100 of my DNA Matches who have this line in their ancestry. I now have about half of them at GEDmatch and/or FTDNA. It turns out that one group of them is in one Triangulated Group (TG) (they have matching, overlapping, shared segments). In two other cases there are 2-4 Matches in each TG, making three different TGs (on different chromosomes) with multiple HIGGINBOTHAM Matches. The rest of my HIGGINBOTHAM cousins, are lonely singletons, each in a different TG. Although they may be genealogy cousins, I don’t expect the DNA segments in their TGs to come from a HIGGINBOTHAM ancestor – the DNA probably comes down a diffent line. Actually, this is expected. At the 6G grandparent level (7Cs), we have 128 couples on each side (HIGGINBOTHAM is on my maternal side). Based on my experience mapping TGs over 95% of my DNA, I know there are about 200 TGs on my maternal side. So I’d expect, on average, about 2 of them for each of my 128 couples – some will have 0 TGs, some 1 and some 3, or even 4, but most ancestral couples at that distance will have about 2 TGs. Remember: the distribution of DNA from ancestors, and the number of TGs for each, depends on the randomness of DNA, and not on family size, ethnicity, geography, etc. factors. Also remember: you cannot tell which partner in a TG CA passed down the DNA, unless you can find/confirm Matches in the TG who go back another generation.