I am not using mint 12 (with Gnome3), but mint 13 with Gnome2 and Mate. It could be that Mint 12 is quite different. In Mint 13 to go (in the file manager): edit > preferences > display Will lead you to three choices for your display of text under the icons. click the pointers beside each and choose what you want to be displayed. If you choose "none" for all three, you will still see the name of the file. If you zoom in (making the icons larger), the other lines will appear, if you have chosen something other than "none"
I tried mint 12 and didn't much like it, so I don't even know for sure what file manager it uses, and like I say it might be quite different, but I suspect that there is a similar adjustment in it.
I have mine set (right now) to display (in addition to the name of the file) date modified, and location.