The Woman's Relief Corps was the women's auxiliary of the Grand Army of the Republic {GAR), the Civil War Union veteran's organization.
Records of the organization may not exist; or they could be anywhere ranging from the Kansas State Historical Society to a county historical/genealogical society to the attic of the descendants of the last surviving member of the organization. A local researcher would be the most likely source of information about the records.
See http://suvcw.org/wrc.htm for info about the national organization which still exists!