When Crouchback meets Iver in the hospital early in Segment 1, he notices Mrs. Stitche's large red hat on the hospital bed and sees them kissing. She later departs with Crouchback for a lunch party and is wearing a white hat with a red rose on it.
Officers and men are often seen saluting when not wearing any headgear. In the British army you never salute if not wearing a hat of some kind.