Things are getting clearer now. I stole this from Wikipedia:-
"As a teen Weissmuller attended Lane Technical College Prep High School before dropping out to work various jobs including a stint as a lifeguard at a Lake Michigan beach. While working as an elevator operator and bellboy at the Illinois Athletic Club, Weissmuller caught the eye of swim coach William Bachrach. Bachrach trained Weissmuller and in August 1921,"
So, Illinois Athletic Club which may explain the logo I.A.C on Peter/Johnnies vest and in 1921 (When Rita was 5 years old). Methinks that someone is trying wear out his Photoshop prog.
I had suspicions when Jimmy Carter suddenly started to part his hair on the right, and of course there were all those elephants behind Angela Lansbury. She was in the costume/make up from Sampson and Delilah and I don't remember elephants.
It's a bit of a giveaway when Weissmuller appears to be on a telly. As I say, things are getting clearer.