Location Reporting Wordpress Plugin

Hi all, looking for a bit of advice. I’ve got a potential client and they want a specific bit of functionality on their website.

They’re a homeless charity and would like the general public to be able to report the location of a homeless person so that they can go and assist them. Ideally, they want a person to be able to go to their website and highlight on a map the exact location by clicking on it and then this information is sent to them. Sounds great, but have no idea how to do it!

Are there any plugins which can do this?