I am the granddaughter of John Henry Gair, who owned the Gair ranch near Kiowa, Co during the earlier part of the last century.
We just had our annual family picnic which is at a family cemetery near the old ranch. Gair, Woodards, and Rinkers are all buried in the cemetery. I don't know much about the Rinker connections, I know that two Gair brothers married 2 Rinker sisters. I can help get information for you from family members, if your still interested after all this time.