Here's another "I've Got A Secret" from April 13, 1955. Dazzy Vance and Jimmy Foxx were contestants starting at 2:28, and then Cy Young was a contestant from 8:00 to 15:00. Gotta love host Garry Moore doing the whole show with a cigarette in his hand, and giving the guests cartons of Winstons as parting gifts.
https://www.youtube.com/watch?v=z2fQpUMPZgY
And here is a clip of Ty Cobb on the show on September 28, 1955:
https://www.youtube.com/watch?v=5T5UNeByuJE
Notice that they blindfolded the male panelists (Henry Morgan and Bill Cullen) so they wouldn't be able to see him, but didn't blindfold the women.