For the table of contents, check at the bottom of this post below the image.
The book is available at Internet Archive, Hathi Trust and Google Books.
Section 1: How Valmiki Received the Gift of Poesy
Section 2: The Story of Rishyasringa
Section 3: The Descent of the Ganga
Section 4: The Penance of Visvamitra
Section 5: Dasharatha's Fault
Section 6: Sita and Anasuya
Section 7: Surpanakha
Section 8: Ravana's Crime
Section 9: The Death of Jatayu
Section 10: Rama Allies Himself with Sugriva
Section 11: The Love of Indra
Section 12: The Ancient Vulture Sampati
Section 13: The Adventures of Hanuman
Section 14: Nala Builds a Mole Across the Sea
Section 15: Rama and Lakshmana
Section 16: The Death of Kumbhakarna
Section 17: The Last Combat
Section 18: Death of Ravana
Section 19: Reunion of Sita and Rama