Most, if not all, website servers log IP information, from which the visitors' general location can be found- usually quite easily. If you're talking LE, then they can likely obtain all of the users' information with help from the hosting company. However, the likelihood of them going through all this trouble (for a misdemeanor especially) would probably be fairly slim. You can't arrest someone just for visiting an escort's website.

Contact your hosting company to see if they have an easy way for you to access your visitor data logs. (If you're using a free site, though, this might be a lot harder to get ahold of.) You can perform a simple IP search to find out your visitor's general location. Without a judge's order, though, you won't be able to view really specific details. There are also a number of hit counters out there you can put on your site. I don't use them, though, so I can't give you any recommendations there.