The late nineteenth century saw a decline in interest in the classical guitar, the heyday around Giuliani, Sor, Aguado and Carulli came to an end. Nevertheless, the period afterwards produced beautiful music. I taped a few examples.
The United States had a classical guitar culture in the nineteenth century with a tight connection to the European, immigrants brought along many of the traditions.
Two examples are by the American composer Carrie V. Hayden, the daughter of Winslow Hayden who was fairly well known in the States. Cambridge Gavotte is a somewhat peasant homage to the town of Cambridge near Boston, the Delight Polka really sounds like a folk polka with, I guess, ties to student life in Boston.
The Paraguayan Tango is a traditional and well-known theme, set for guitar. Finally, Ejercicio in G is a piece by Antionio Cano (1811-1897), a Spanish surgeon who exchanged his scalpel for the guitar to become a guitarist / composer.