Karebru wrote:I want to adapt my 30 amp/120 volt, 3-prong camper to a 30 amp/240 volt, 3-prong outlet.
Ummmm. The above looks like you don't need an adapter. Or did you fat-finger the keyboard, and put a 3 where there should have been a 4?
Just making sure we're all on the same page.
Karebu wrote:I've never understood the relationship between neutral (Or is it common?) and ground.

Ground= A non-current carrying conductor that is present for the safety of humans. (Represented only by a green colored or bare copper wire.) The
only time it should carry any current is when something in the appliance/load goes terribly wrong, and a hot lead comes in contact with any metallic portion of said appliance that could also be in contact with a human.
Neutral (or common)= a current-carrying conductor that is present as a "return path" for the hot lead, in order to complete the circuit and make the load or appliance operate. (Represented only by a white or neutral gray colored wire.) This wire can hurt you just as bad as a hot lead, if your body happens to be a better path to ground than the neutral.
The only place where there is a common connection between the ground and neutral is
in the distribution/breaker panel. The neutral is considered a "grounded conductor", and is therefore attached to a ground bus, only in the panel, nowhere else. (There are very specific cases where the grounds and neutral are isolated from each other, but that's another discussion.)
Roger