What enblethen posted is probably about the simplest to understand and quite commonly used. I would put a fuse or circuit breaker between the auxiliary (house) battery and the wire to the solenoid, like the one at the engine battery end, to protect the wire run, and maybe upgrade the size of the wire and the breakers/fuses correspondingly (and the rating of the solenoid, if needed), but the general idea is the same. This is what I have on my class C, in fact, and it works out just fine in practice.
Often there is a pushbutton switch in the control line to the solenoid for an emergency start circuit. The common contact goes to the solenoid, and the normally closed to the vehicle accessory power source as indicated. The normally open contact is wired to a circuit on the house 12V system. Pushing the button then closes the solenoid switch (and so connects the batteries together) in case the chassis battery is drained, basically a built-in jumper cable set.
Your "generator" is nothing more than a battery pack and inverter. You would probably be better off for many things (certainly 12V things) connecting them to the house battery rather than having another intermediate battery. I'm assuming you do have some 12V lights and appliances.