I did some wire chasing and now it looks like it needs you to check a few things like if it is getting power to a wire at the vent as well as ground at the vent. Or checking first that the breaker is okay. Kind of your choice on which end to start, so I'll let you decide?
First thought might be to ask if both the bath and galley vents are not working right or is one working to show it is getting power and the other not? They share the same power and ground wires, so if one is working, we don't need to go to the breaker as it is the same for both.
If neither is working, check the breaker first, perhaps? That breaker should be at the 12 VDC panel where it looks like you have a top row and bottom row, where you need to carefully check the bottom row and fourth one from the left to make sure it is not tripped. Maybe push it once or twice to make sure it is staying in as it should.
Next thought would be to see that the power and ground are both good at the vent .
At the galley vent, you should find four wires and they should have codes along the wire sides, as in example picture below. A yellow wire labeled HHA should be the power from the breaker and near 12VDC with the white wire labeled HHB being the ground. If you can get to the vent wiring to check these, it will tell a lot. When checking be sure to check both the power and the ground as both as vital.
This is the "magic decoder" list for wires:
https://www.winnebago.com/Files/File...ical_guide.pdf
It may be as simple as one wire is corroded or broken off and something you may see but this is where I would start but it can also be something like one of the many connections that it goes through to get from the breaker to the vent.
If needed, that info and where the connections should be are available but often easier to check the things you know where to find like the vent!!!!
See if that helps any and let us know>>>>