Hi Kev2008, Welcome to the world of prospecting and the Colorado Prospector website.
You'll love prospecting and NM is a great state for it in many areas as well as minerals.
I would definately NOT USE
that list as a "where to go" of any kind.....that is only a write up of known production/mines that would certainly lead you to private land. That list and any others like it should have a disclaimer/warning paragraph top of each page/state that says something about private lands and check that lands are open to prospect before using that info on field trips.
Although it will definately give you an idea of historical production/records for areas but there are no specifics about any spots to go or where to find the proper information so that one could find "open land" to prospect.
For any adventure on our lands, one just needs to do some basic research to make certain the area you wish to prospect during your adventure/field trips are in fact open to do that without having any private claims/land.
Here's a recent posting I've written up about this very topic that you might find useful in the future.Why research?
Have a great time, stay safe out there and good luck in your prospecting.