The big button calls the first person on this list. If they don't answer, the app offers the next one.
The moment the button is pressed, the app sends a push alert with her location — without her doing anything, and whether or not anyone picks up the phone. Family installs the free ntfy app and subscribes to this exact link, or opens family.html in a browser.
iPhone: Share arrow in Safari → “Add to Home Screen”.
Android: ⋮ menu in Chrome → “Install app”.