You could try switchboard.com for Winchester, KY. Click on Find a Person, enter the city, state and surname and you should come up with over 100 Rogers. There were three William Rogers and three James Rogers.
William Rogers born 7 Dec 1922, s.s. No. 400-22-2100 issued in KY. He died August 1975 at est. 53y.
William Rogers birth 21 February 1920 social security number 403-14-0784 issued in Kentucky, death date:April 1975 est. age 55
There are others, but my computer is acting up. If you can pinpoint the news article and or obituary, it could help narrow the search to a particular neighborhood, or persons to contact.