Jeff Boice was nice enough to send in this additional info about an item I posted here the other day…
You talked about the What's My Line? episode where John Charles Daly objected to having Mike Wallace appear as the Mystery Guest. The back story is this: Mike Wallace started the Mike Wallace Interviews show on ABC the previous month (4/28/1957). Wallace was hired by Leonard Goldenson over the objection of Daly, who was the head of ABC News at the time. Daly made it clear that he considered Wallace to be a "mere interviewer" and not a real journalist, and that ABC News would have nothing to do with him. He also warned Goldenson that the Mike Wallace Interviews show would end up getting ABC in lots of trouble
And that trouble occurred on the show which aired the week after Mother's Day, 1957. Wallace had as his guest the gangster Mickey Cohen, who made a number of slanderous comments about L.A. Police Chief William Parker. Parker sued ABC for $2,000,000 (it was settled out of court for $45,000 and an on-air apology). As Wallace notes in his book, Close Encounters, "In the aftermath of the Cohen experience, he (Daly) was able to say 'I told you so' — and did."
If your date for the What's My Line? show was correct, it was the week after the Mickey Cohen interview. Daly probably felt that appearing with Wallace would have been seen as a display of support for Wallace from both him and ABC News. Of course, he should have also known that refusing to appear in public with Wallace would also be newsworthy, and he should not have been so upset when it made the papers.