Let me explain ??
jQuery autocomplete is used by EM to look up the existing locations in the database. EM then uses Google to re-find the coordinates – a manner that I do not understand why they those that. The basis for that is also used by OSM. But, because we turned off the Google integration, the js will give an error as it was/is still looking for a (now) undefined function.
That is why I revised the EM js. I added the simple option that the Ajax Search also fetches the (already present) coordinates from the database.
Unfortunately, I seem to have deleted too much from the original EM js. The search form (not location, but in the header) should also work. With a new modified (to be released soon) version it does on my live MultiSite as well as my Development localhost.
On your website I did see console errors related to the header location search. I am currently looking in to what needs to be deleted to prevent errors and stops the script from running and what has be kept. ??