OK, I'm back.
Changed out the batteries, as after sitting with shore power unplugged for 3-4 hours the batteries were down to 10.5 volts. New batteries installed and the gennie cranks! And cranks, and cranks...no fuel to carb. I pulled the gas line to the carb and there is nothing coming through. I don't hear or feel the fuel pump working at all. Fresh oil, all connections seem really good, though I haven't really gotten to the fuel pump itself. Anything I should check before trying to pull the pump? It seems to be in an OK location to get at but I would imagine that the gas lines are probably pretty dried out and hard to remove.
Thoughts?