Jaymie, I'm not a sparky, so this is the obligatory disclaimer incase you fry yourself. 
RCD's (earth leakage devices) can be bought incorporated into power boards and extension leads.
the inverter earth thing is a touchy subject. there are differnt "Types" pf inverters..........as well as different view points on earthing.
best bet is to do your own research and also ask some one at a dedicated alternative power shop, not the kid working at super cheap. I'll enter into discussions though, but DO NOT take my opinions as gospel.
Technically if your supply neutral is not tied to earth at the generation point then there will never be a return path through ground for you to be electrocuted. Our grid power IS, hence the cabability of being electrocuted by touching the active.
On the surface it would seem that the neutral output of the inverter is not tied to ground anywhere. But the switchmode supply inside may not be isolated between 12V and 240V sides. Now if the mounting screws for the inverter are connected to some type of chassis which is also in contact with the ground (or IS the ground, i the case of a boat for example) then you may have a potential problem.
Most inverter manuals cover such things, but it would be wise to inform yourself on such matters
Sorry there wasn't a simple answer for you.
Technically though, an rcd on the output of the inverter should do the trick, as it monitors the balance of the power "out" the active and "in" the neutral. If there ever was a secondary return path though you, even if it was to the casing, which may or may not be tied to neutral, the RCD should pick up this inbalance and cut power.
Steve
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