The part is called a headliner, the material is usually cloth glue to a foam/composite board.
Febreze.
The roof
A car without a roof is called a convertible
Sun roof
it's called a door you idiots Actually, I believe the question asking was refering to a "sunroof."
the light in the roof is called the interior or dome light. if the light is on a door it is called a courtesy light
the headliner or roof
Turret
In the auto industry, it is called the "head liner".
Shampoo the upholstery, carpet and the fabric interior roof, use window cleaner on the windows, use a cleaning solution on the doors and other solid surfaces inside the car. Use a leather cleaner if your seats are leather. If the smoker smoked with the car windows closed and the car reeks of tobacco smoke you cannot rid the car of the stench.
the interior
convertible Drop head Roadster (if it is a 2 seater)