Joseph C. Ray applied for and received a pension in Tennessee citing his service in Company L, 6th. Tennessee (Union) Cavalry.
His widow, N. Cordelia Ray, applied and received a widow's pension in Florida, the date noted is Feb. 5, 1931.
You can find several unit histories for the 6th. TN (Union) Cavalry at Google.com
Military service records and these pensions records are available at this site.
http://history-sites.com/research/index.html