OK, I seemed to have brought this thread to a grinding halt.
The band was Interview, whose only album, Big Oceans, was actually rather good.
The drummer was Chris Hughes and the guitarist was Pete, whose second name has gone right out of my head but went on to found Bike Events and Bike Tours. Thoroughly nice bloke and damned good six stringer.
Easy question now to reignite the thread:
There are several Beatles recordings that feature only Paul McCartney but there is only one on which John Lennon is the only performer. Name it.