To me it looks like what I know as an Inverness cape and I never realized they were two pieces.
(I have the rain version, with tartan trim {though I don't think mine is marketed specifically at women}, because I always wanted one, and a rainy day in Scotland at Cowal Highland Gathering gave me the excuse to buy one... mine is not in two separate pieces, though; they're attached.)
Here's tae us - / Wha's like us - / Damn few - / And they're a' deid - /
Mair's the pity!