neither would seem to fit that description.After much diagnosis - the "isolator" must just be the combiner knob....
KarenOur boat has a solenoid to the left of the battery switch....we were assuming the the battery switch (what I'm calling the "combiner") acts as the isolator.
On our boat there is a solenoid that parallels the house and start batteries when the key is in the run position. You probably will hear a click when you turn on the key to start the engine. So every time you run the engine it combines the start and house batteries. When you are charging from shore power you either have an extra terminal (echo charge) on the charger that goes to the engine battery or nothing (which is what my boat has, no need to continually charge the start battery).
You will probably see that the two heavy terminals on the solenoid go to the house and engine battery positive leads.