Can you recount the story of when the author of the Satcharitra was interrupted during his reading and what Baba did?

Certainly. The author himself narrates this personal experience in Chapter 18. He was engrossed in reading the Nath Bhagawat when the group decided to go to the Masjid. Eager to hear Baba's stories, he put the book aside mid-story and ran to join them. However, upon his arrival, he discovered that Baba was not satisfied, as His mind was on the incomplete reading. Baba insisted that the author go back and finish reading the remaining part of the Bhagavat. This incident is remembered as a great marvel of Baba's, showcasing the immense importance He placed on completing such sacred duties without interruption.