Appendicitis occurs when the appendix becomes blocked, often by stool, a foreign body, or cancer. Blockage may also occur from infection, since the appendix swells in response to any infection in the body.
A familial generation is a group of living beings constituting a single step in the line of descent from an ancestor. In developed nations the average familial generation length is in the high 20s and has even reached 30 years in some nations.
As a minimum you can tack on 20 years for each generation and look for someone immigrating 100 years before 1946. But they may have been the last child born in each successive generation and have immigrated more than 200 years ago!!!! The best way to know is to track the birth of each of the generations.