Despite being a show played mostly for laughs, the program ran a $25,000 contest -- huge for the time -- called "Three Face" starting in March, 1954.  Viewers sent in messages supporting the Heart Fund (in 25 words or less, of course), and the writers of some of those letters won the opportunity to identify the three faces that made up a composite picture.  

On August 26, 1954 the show ended its CBS run.  The following week, Bill began hosting Name That Tune for the same sponsor (Toni) in the same time slot.  When NBC picked up Place the Face two weeks later at a different day and time, Bill hosted both shows.  Place the Face would be cancelled yet again two months later, only to reappear (with Bill) as a summer series in 1955.       
       
Place the Face was based in Hollywood, requiring Bill to commute across the country once a week to host it.      

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One episode exists, with celebrity guest Xavier Cugat. 
     
EPISODE GUIDE 
Our thanks to Fredrick Tucker, who got us started on this with his own research into the career of Verna Felton.  Even though these shows probably don't exist anymore, it's still interesting to see some of the big names (and not so big names) who paid Bill a visit!