Yes, my friend indicated that the second song was at a later show, not the next song after "Cup Of Coffee"
"Weeping Willow" was an absolute bonus. Some years ago, I happened to be speaking on the phone to the guy who, back then, ran the Bob Dylan website at just the time he had got permission to post some Supper Club audios in the "Performance" section. He asked me which song I'd like and I answered immediately "Weeping Willow", as it was a one-off performance. A week or so later, it was on the site.
As is inevitable, somebody downloaded all the material that had been posted (a mixture of old and new, soundboard and audience recordings, covers and Dylan originals), selected the more unusual stuff and produced bootleg CDs. This did not go down well. Later, they got other people to do the site (Sony/Columbia staffers, I believe) and all the recordings got taken down.
Have you seen the list of what was posted, Pottel?