Possible Clues:

• Headgear good for Parisian having open fabric
• Tie-on topper
• Old-fashioned woman's hat or a hinged cover over car engine
• Cover for head or engine
• Car hood, in Cardiff
• Clothing item with strings
• "Little House on the Prairie" headwear
• Soft hat that's tied
• Goes on ahead sitting on top of taxi, for example
• Baby's headgear