The lower voltage reported in the prior posts are supposedly measured at the sender, and would make sense for it to be 4v when the sender is in the middle position and 1.9v when the sender is at the full position. There is resistance in the guage movement winding that will drop more and more voltage through it as the sender resistance decreases (moves towards full). (My old FSM says these are thermal guages so they indeed have resistance in them...as Redfish explained.)
I would encrouage the owner to look into a new guage at this point.