If your freelancers obtained "royalty free" images then they will likely have a receipt proving that they paid a fee for each image that was granted a royalty free license. If they obtained other forms of license or permission they should have that neatly logged in a spreadsheet or in the form of email messages. That is where I would start with this.
If you don't have any documentation then it is going to be really hard and really costly to go backwards to determine where each image came from and if proper permissions and licenses were obtained. That might cost more than doing the work over again. If I was in this situation, I would start over on this project.
If you are getting into the business of using the images of others then a good education in copyright, fair use, licensing, permissions, and proper documentation is essential. In addition to you having this information and knowledge, anyone who works for you must have it because the problems of infringement will be yours and not theirs. Lots of people run wild and rampant when collecting images for their websites or client websites. They simply don't understand copyright law or the problem with ignorance.
Will people get in touch with you before filing a DMCA or filing a copyright infringement lawsuit? They might or they might not. If they think that your website is run by scofflaw organization with few assets then they will probably just file DMCAs with search engines and hosting companies. They might also file complaints to Adsense and other income sources. Successful DMCA and Adsense complaints will put the infringer out of business. I make lots of these complaints against infringers and have a system in place to do them quickly and efficiently.
If your website appears to be run by a substantive company and the person who's images you infringed is a decent and patient, they might send you an informal infringement notice, give you a chance to fix it, and then file DMCA and income source complaints if you don't respond quickly. Or, they might send you a bill for your past use of the image and a license agreement for use of the image going forward. If you have stolen a lot of their images or you have a person who stands firmly on their intellectual property, they could go straight to a lawsuit or other legal remedy.
The owner of the images enjoys the ability to chose their methods of dealing with you.