Mellotronists

I just watched "Head," the Monkees movie from the later sixties. Jack Nicholson, Terri Garr, Terry Bradshaw, and even Victor Mature show up in this strange bit of flower-power celluloid. The film starts and finishes with a very early Pink Floyd-style song, which I sadly do not know the name of, because it would make this post much shorter. It is slow and features Hammond organ prominently in the mix. In a middle bridge section, there is an extremely Mellotronish string sound mixed with the Hammond. In the middle of the movie, Peter Tork walks into a scene whistling "Strawberry Fields Forever," so it is clear the film was made after Mellotrons hit rock music. While it is not listed at Andy's site (no Monkees are, as near as I can tell) I was wondering if anyone knows if there is any Mellotron/Monkees connection?