Does Chapter 36 give any clues about how widespread Sai Baba's fame was?

Yes, Chapter 36 explicitly indicates that Sai Baba's fame was remarkably widespread. The text contains the significant line: "Those in the country and abroad worship him; the flag of his devotion flutters." This statement clearly suggests that his influence had transcended local and even national boundaries, reaching an international audience. Further supporting this idea of a broad following, Chapter 36 concludes its introduction by setting the stage for the next story, mentioning that "Two gentlemen from Goa came for Sai’s darshan." This detail illustrates that people undertook journeys from different regions to seek him out, confirming his extensive renown.