New Model Army is indeed the name of Cromwell's army. So links there with the Levellers. Whom I saw on the next table to us in a pub in Oxford once a long time ago.
Now when I was a kid my sister liked Wet Wet Wet, and that is apparently a quote from some other song (forget who) that says 'my eyes were wet, wet with tears' and they thought wet wet was a bit short so they extended it. Crap, but that's the one I know.
I heard that the Stones got their name from the Dylan track, but it's also a long standing proverb (a rolling stone gathers no moss). That line also appears in a Buddy Holly track called Early in the Morning.. don't ask me how I know that, as Buddy Holly died a long long time ago 😉 before I was born.