That doesn't sound right. If both people are thinking about the same item of clothing, then person B should take off that item.
Actually as I understand it it's a common practice in the U.K.. Get a group of about thirty people together, get one or two making out, then suddenly you'll have group sex. As a matter of fact, isn't that act called dogging?
Dogging is the informal name for the position commonly known as "The Reach Around". It is scientifically knwon as "A rear entry position with one person on all fours beng anally penetrated by someone who is kneeling and reaching around their body with their hands".
I have never heard of that particular definition personally.
'Doggy style' is usually the term used for taking someone from behind, though I wouldn't say it was reserved for anal sex specifically, (though I'm sure people do, heh).
'Dogging' as far as I know, is where people have sex outside basically, half the time in cars.
That's basically the whole explanation of 'dogging' and 'doggy style' but the explanation on the blanket game was wrong except for one person who said it was all about gyuessing which item of clothes the person was thinking of...Bravo!