Here are some possibilities based on the book and the time period:
* Popular Ballads of the Time: Songs like "Annie Laurie", "Auld Lang Syne", "The Last Rose of Summer", and "Home, Sweet Home" were very popular during the 1860s.
* Hymns and Religious Music: Amy is raised in a devout Christian family, so hymns like "Amazing Grace" or "Rock of Ages" would be likely.
* Opera Arias: Amy's passion for music is evident, and she may have attempted to sing operatic pieces. Popular opera singers at the time included Jenny Lind and Adelina Patti.
* Original Songs: The book mentions Amy writing her own poetry and stories, so she might have composed her own songs.
It's important to remember that the exact songs Amy sings are left to the imagination of the reader or viewer. Different adaptations of "Little Women" have chosen to depict Amy singing different songs, depending on their interpretation of the character.