ZenLocator might use
z-index CSS property on some parts of the widgets (not just the map). That property is responsible for z-order of positioned elements and their descendants. Read more here.
While we do try not to use that property, sometimes we have to and our widget (or parts of it) might end up on top of some of your website's elements.
The best fix is to try and increase the
z-index property on those elements that are being covered (or their parents) on your own website. For example try settings
z-index: 3000; in your own CSS (or some other higher number).