Here is the list of tracks in the order they appear in the film (as best as I could conclude). Enjoy!

1. Orchard House (Main Title)
24. The Laurence Boy
2. Meg's Hair
7. La Fayette's Welcome
22. Port Royal Gallop
3. Snowplay
9. Two Couples
5. Ashes
16. Limes
6. Spring
13. Maria Redowa
8. A Telegram
4. Scarlet Fever
12. Harvest Time
11. New York
14. Letter from Jo
15. Amy Abroad
10. Burdens
21. Valley of the Shadow
20. Learning to Forget
17. Beth's Secret
18. For the Beauty of the Earth
19. Little Women
23. Domestic Experiences
25. Lovelornity
26. Under the Umbrella (End Title)