Eric Clapton in Montreaux 1986
On the Writing of Badge: "George Harrison remembered the story differently: "I helped Eric write 'Badge' you know. Each of them had to come up with a song for that Goodbye Cream album and Eric didn't have his written. We were working across from each other and I was writing the lyrics down and we came to the middle part so I wrote 'Bridge.' Eric read it upside down and cracked up laughing-- 'What's BADGE?' he said. After that, Ringo walked in drunk and gave us that line about the swans living in the park."
"A common legend or misconception is that the name came about because its chord progression is B-A-D-G-E (it is not), or simply because an anagram of a guitar's standard tuning (E-A-D-G-B-E) can be arranged to spell "Badge"." More here:"BADGE"