I was watching the old "Password" show from the mid 1960's, and a word was "scandal", and one of the celebrities used "Baker" as the clue, and because it was on everyone's mind at the time, apparently, the play partner guessed "scandal" (after a few other clues didn't produce the word). I did a quick search for "baker scandal", and numerous hits for the Jim Bakker scandal came up. I re-entered the search as "'60s baker scandal", and this came up (from wikipedia; yes, it's sometimes unreliable, but is often a good way to quickly learn a lot of things)

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Robert Gene Baker (November 12, 1928 – November 12, 2017) was an American political adviser to Lyndon B. Johnson, and an organizer for the Democratic Party. He became the Senate's Secretary to the Majority Leader. In 1963, he resigned during an investigation by the Democratic-controlled Senate into Baker's business and political activities. The investigation included allegations of bribery and arranging sexual favors in exchange for Congressional votes and government contracts. The Senate investigation looked into the financial activities of Baker and Lyndon Johnson during the 1950s. The investigation of Lyndon Johnson as part of the Baker investigation was later dropped after President Kennedy's assassination and Johnson's ascension to the presidency.

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It's interesting to see that the investigation of Johnson regarding this scandal was dropped when he became President. Who wants to bet if it had been a Republican President they would have hounded that story into dust.