Ted Williams on What’s My Line
They refer to the fact that the Red Sox played at Yankee Stadium earlier that day, and that the Sox won 10-9. The video description says this was from 1954, which would place this episode on May 23rd.
Joe DiMaggio on What’s My Line
From 1955; they refer to his just having been elected to the Hall of Fame. Doesn’t take them long to figure out who it was.