What sequence of events led the desperate family from Malegaon to finally travel to Shirdi?

Chapter 34 outlines a clear progression from medical failure to spiritual hope. After all medical options for the boy's bone-cyst were exhausted—including efforts by his doctor uncle, other physicians, and surgeons—relatives suggested worshiping deities. When prayers to gods and the family god yielded no results, word reached their ears of a famous Avaliya, or saint, in Shirdi. They heard that this great saint, Sai Maharaj, could heal diseases by his mere sight and that his Udi could cure incurable ailments. Viewing this as a final option, the parents decided to try this "last resort," packed their belongings, and traveled to Shirdi for Sai's darshan.