The book is available at Internet Archive (I have not checked for other online sources).
Venkataswami collected the stories in Nagpur and in Hyderabad. Here's a contemporary photo of modern Hyderabad:
Table of Contents
1. The Princes, the Rakshashi Queen and the two Princes
2. Story of a Piece of Jaggery, a Clod of Earth, a Leaf-plate and an Ass
3. The Royal Child whom Seven Mothers Preserved
4. The Fox and the Neat-herd
5. The King and His Clever Youngest Son
6. The Chikilintha Weed and the Chilikaisarapu Tree
7. The Raja, His Wife and the Dancing Girl
8. The Ripe Leaf and the New Leaves
9. The Sparrow and the Bangle-Seller
10. Story of the He-Fish and the She-Fish
11. The Prince who Never Shivered
12. Of Red Ant, Man and God
13. The Prince and the Sow-Wife
14. The King, the Girl and the Palanquin-bearers
15. Story of Rumbha, Urwasi, Mainaka and Tillottamma
16. The Too-punctilious Brahmin
17. The Story of the Pea-hen and the Ant
18. The Princess, the Dancing Girl and the Kaja
19. The Man and His Friend
20. The Shepherd, the Guru and God
21. The Fulfilment of a Curse
22. The Komati and His Clever Wife
23. The Baniya and the Sadhu
24. The Sadhu and the Dancing Girl
25. The Budmash and the Goddess Kali
26. The Raja and the Prophetic Writing
27. The Soldier and His Wife
28. The Old Woman and the Unlettered Young Man
29. The Princess, the Kind Kites and the Unkind Rakshashas
30. Sir Thomas Munro and His Mission to Hyderabad
31. The King and the Blind Wise Man
32. The Tricky Young Man
33. The King’s Son, the Minister’s Son and the Guru’s Son
34. The Famine and the Prabhoos
35. The Prince and the Minister’s Daughter
36. Story of the Mala and Indra’s Cows
37. The Legend of the Colair Lake
38. The Two Young Goldsmiths
39. The Foundling Princess and the Wild Cat
40. The Vicious Guru
