Hello Ted,
Your site generates two JavaScript errors which are most likely prevents the address autocomplete from working.
1)Google Maps API error: MissingKeyMapError
This error indicates on a missing Google Maps API key ( Google now requires an API key in order to use its map features ). Please follow this tutorial on how to create an API key and then enter it in GEO my WP Settings page.
2) You have included the Google Maps API multiple times on this page. This may cause unexpected errors.
This error indicates that Google Maps API is being registered multiple times on your site which most times causes conflicts. It is being registered once by GEO my WP and again by most likely another plugin or by the theme of your site. You need to disable the second call that is being made to Google Maps by disabling the plugin or using a filter if provided.
My advice is to first create the API key and see if it solves the issue. If it doesn’t, you will need to find the other Google Maps plugin that most likely conflicts and disable it to see if that solves the issue.
I hope that helps.