I have a different problem from this. The scenario is same but I am in need of more filtration of the results.
Let me explain.
Consider I have 2 tables
Finally found it..
In the ->get() you have to put the 'staff_id' like this
Vehicle::where('id',1)
->with(['staff'=> function($query){
// selecting fields from staff table
$query->select(['staff.id','staff.name']);
}])
->get(['id','name','staff_id']);
Since I didn't take the staff_id, it couldn't perform the join and hence staff table fields were not shown.