maybe you're looking for hairpiece/toupe ?? - the base or lining whatsit bit

shower cap?

and yes to Wolfie followed by Babs

A man's Toupee 




Babs you were close with that wig guess but when I compared wig to toupee they had different definitions and hence I said no to wig.
@Babs  I definitely dont think one would wear this in your 'convertible car'. Not at high speed thats for sure 

Ahhh, I see why Jenny said she wouldn't wear one!!  

Yep, you lot did all the hard yards, & I timed my entry perfectly . . . so sorry 

As for the item, rugs should stay on the floor!

Cheers