It's an arrangement of the song "I Will Wait for You" by Michel Legrand.
The original French version is called "Je ne pourrai jamais vivre sans toi" and it was written for the musical "Les Parapluies de Cherbourg" (1964).
Here's a version sung by Beverley Craven.
It's the piano/instrumental arrangement of Carol of the Bells by Quincas Moreira, royalty-free music for YouTube Audio Library which can also be listened on his royalty-free holiday classics medley. Originally based on Shchedryk, arranged by composer and teacher Mykola Leontovych in 1916.
Found by notating and searching for the first 4 notes: G F# G E, ...
This is the end of the third movement of the Violin Concerto No.5 by the Belgian composer Henri Vieuxtemps (1820-1881).
The film recording is played by Li Chuanyun with the China National Symphony Orchestra.
Here's another recording of this played by Nikita Borisoglebsky.
Track 5 on Acappella Southern. From the album description:
We then topped it all off with a brand new recording of “Amazing Grace” that will have you smiling all day.
Here is the Deezer link to the song.
Sounds like Hosier: Real people do
Lyrics from the YT link
I had a thought, dear
About that night
The bugs and the dirt
Why were you digging?
What did you bury
Before those hands pulled me
From the earth?
I will not ask you where you came from
I will not ask and neither should you
Honey just put your sweet lips on my lips
We should just ...
The soundtrack for "The Professor and the Madman", composed by Bear McCreary, is available on amazon.com. Since that particular piece is played over the end credits it's quite likely that it's included.
What you were and I were thinking was an intro was in fact a PROMO... as linked below. We actually probably heard it WAY more than the intros! :)
Mother Love Bone - Chloe Dancer/Crown of Thorns... at least it was in the UK for the early 90s
Your lyric recognition was ...