Good afternoon Captain :)
I'm at work right now {about to go into an exam}, so I'm just bookmarking to answer this evening!
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6 hours later: Finally got out of exams and to a PC!
From your list, the only one I know is the Rolf Harris song...
Peter, Paul & Mary: although I know who they are, I've managed to miss them out, musically.
Martin Carthy: heard several of his songs {Mike Harding plays him}, but the only songs I have are those he is on as a member of The Imagined Village.
Burl Ives: again, know the name, but no songs.
Rolf Harris: in my day, it was 'Sun Arise' that had a resurgence of popularity. And I still enjoy it!
The Spinners: I recall them being mentioned on an episode of "Heartbeat"...! Nope, no songs.
BQ2 :
Well, Fleetwood Mac's "Rumours" was often on in the car, and I have an earlyish memory of singing along to 'Dreams'. My dad also played Peter Green era songs, so I also have fond thoughts of 'Albatross' and 'Oh Well'.
Along with FM, dad played his favourite band a lot... The Beatles. Many of my early years were spent enjoying the melodies of such songs as 'A Day in the Life', 'Happiness is a Warm Gun', 'I'm Looking Through You', and pretty much the entire back catelogue.
"Tubular Bells" by Mike Oldfield, and Pink Floyd's "Meddle" were also regulars in the car.
My mother's contributions to my young car-bound musical enjoyment are a little different :
'Diamonds on the Soles of Her Shoes' ~ Paul Simon {entire "Graceland" album}
'Under the Boardwalk' ; 'Save the Last Dance for Me' ; 'Saturday Night at the Movies' ~ The Drifters
Out of the car :
Wings ~ "Band on the Run"
'Father of Day, Father of Night' ~ Manfred Mann's Earth Band {cover}
And for the most embarrasing memory:
'Dingle Dangle Scarecrow' ~ Rod, Jane and Freddy
http://www.youtube.com/watch?v=CkJusiJIHls&fmt=18
{I have the "Rainbow" TV series LP}