That score was by Johnny Green! I worked with him in 1987, not too long before he died. I dearly loved him.
I want to know much, much more about this working with him.
Pray, tell all! The guy who wrote the liner notes for this new release once interviewed Green specifically about the score and also did a complete score analysis, which was printed in a Library of Congress publication.
In an interview he did for "The Cue Sheet", the in-house publication of the Film Music Society (formerly the Society for the Preservation of Film Music), Green had a lot to say about many things he did, among them "Oliver!" about which, he promised, he was going to write a book. It never happened, but one hopes he had notes that may one day come to light.