Can you provide some real-life examples from the Satcharita where Udi cured illnesses?

Certainly. Chapter 33 provides several examples of Udi's healing power in a footnote by R. Hari Sitaram Dixit. In one case, a gentleman named Khimji Lalji Joshi had a daughter who was severely ill and so weak she couldn't walk. After her mother initially brought some Udi which gave some relief, they took her to Shirdi. Baba applied Udi to her, and within a few days, she began to walk on her own. Another instance involved a friend of Dixit who had been unable to sleep for eight days. After taking Udi for just one night, he slept soundly. Similarly, a child from Bandra who hadn't slept for two months was able to sleep peacefully after being taken for Baba's Darshan in Shirdi.