I am not too familiar with TT house battery circuits but in my rig the latching relay is controlled by a SPDT momentary switch. The relay is used to disconnect the house battery entirely. The other solenoid is the Battery Mode Relay, when the ignition is turned on the mode relay engages through the accessory circuit of the ignition. When the start circuit is engaged, the accessory circuit is disconnected until the ignition key is returned to the run position. Manual control of the mode relay is through a SPST momentary switch on the dash and is used to Boost the chassis battery if needed in order to start the engine.
There are many different latching relays and the one in my rig only has one coil, the latch is operated by magnetism. It's pretty cool and simple but baffling until you reason it out.