Turns out I had a rather embarrassing in my musical knowledge. It's perfectly explainable. The band in question were popular at a time when, given my age, I knew songs on the radio, but not necessarily who performed them. So it goes with The Traveling Wilburys.
I remember 'End of the Line' (and 'Handle with Care') from this time, but never knew the artist. And it wasn't something that was on my musical radar until I heard the former song on the radio recently.
And I'm left staggered that I did not know who performed that song.
A supergroup, the likes of which we will probably not see again in my lifetime.