The original tanks have been known to rust through, one of mine went at the seam the other one perforated on top - both replaced with a 'Tim' tank from Commeracer. Check the hose into the tank, one of mine recently went brittle and simply collapsed but they can become porous too. The vent pipe can also give trouble, it runs from the top offside of the tank, through a hole in the chassis leg then up through the floor where the filler pipe comes through then connects to the filler pipe a couple of inches below the filler cap. Be careful not to kink the vent as the tank can pressurise and force fuel out though the cap. I would investigate further around the damp patch - does it smell of fuel, if so that's likely the culprit. Another possibility is the gasket around the level sender but this is on top of the tank so you'll need to take it out to check.
The tank is held in with (I think) six bolts that go through the tank flange and into captive nuts in the cross beams, give them a good soaking in penetrating oil before you try to get them out.
Hope this helps