From the very sketchy information we have, and drawing on information from Mike Coston and FluTrackers, I've cobbled together a chronology of the three cases. Here's what I get:
Thursday, February 14: First of three admissions to Shanghai No. 5 Hospital of men in the Li family in Shanghai. Two are sons aged 55 and 69; one is their father, aged 87, who reportedly falls ill on Tuesday, February 19. All three are diagnosed with pneumonia. The younger of the two sons dies in late February; the other recovers. Neither son tests positive for H7N9.
Wednesday, February 27: A 27-year-old Shanghai butcher, Mr. Wu, falls ill.
Monday, March 4: Mr. Li, the 87-year-old, dies 14 days after falling ill.
Saturday, March 9: A 35-year-old woman in Chuzhou City, Anhui province, falls ill. Chuzhou is 322 km (200 miles) from Shanghai.
Sunday, March 10: Mr. Wu, the butcher, dies 11 days after falling ill.
Sunday, March 31: The woman in Chuzhou City is in critical condition in a hospital in Nanjing, Jiangsu province, but still alive after 23 days. News of the H7N9 cases is made public and goes worldwide.
I'll update this chronology as more information becomes available.