As the name Reid is so prolific, it makes sense for those tracing their lineage to join the Reid Group:

http://groups.ancestry.com/site/38467304/public/

If a male Reid takes a 46-marker Y-chromosome test (which simply involves ordering a test kit and returning swabs to the lab) the results give a reliable means of comparison with the results of all other male Reids tested previously to show scientifically how closely they are related.