i didn't realize your aim was to play along with the record (but yes, that's a fun way to learn)
i am not a big fan of added string arrangements to any music (GL or Beatles, etc) so never really listened intently before...I called up one of the vistory videos (this one has an unusual visual pace)
and listened and once you have the key there is not a lot to figure out because they are predominantly single note counter melody unless you want to blend in harmony notes on a few runs...that would take some talent...if i had midi (not into it) I would play the part (I'd recommend Heff's arrangment instead

) and the latest modest scoring software would automatically put it down for you...there is also software that could sample out the strings and do the same but what fun is that, lol...I don't read or write music much but if I had the patience I could score the notes atleast but the timing would be wrong as I don't know how to represent a 1/32 note vs. a 1/4 or even a whole note
if you learn your scales, you may soon be playing by ear
i think it's a great idea to play some arrangements from the AC or pop genre, there are so many...my elder bro and sis's gave up instruments because all they learned was Royal Conservatory stuff...you might like to get the Lightfoot karaoke music that's out there and play along with that instead....you could start by accompanying the backing music then add the lead vocal later
keep 'fiddling' around and it should come to you in time, good luck
note: i do have an inherited violin in the basement, it hurts my fingers and moreso my EARS when i try play it...I'm no Anne Lindsay, lol...I'd really love to learn the cello...maybe I could be an Ofra one day
ps) I know who you should summon here: cathy cowette
ps2) the last time I saw a string section playing along to IYCRMM was when a few Canadian Idol contestants have sung the tune over the years...they were looking at sheet music of some sort...there is a contact e-mail addy at their site but it would be a long shot to think they could or would dig up that score