What's inn a name?

Browsing through the splendid Infowisps the other day, I came across a piece about pub names. They always fascinate me, and it reminded me of this equally excellent website -
The Public Houses Of Whitwick.
Now before you get the impression that the village in which I live is hopelessly given over to the demon drink, I should point out that neighbouring Coalville, now by far the bigger settlement of the two, has relatively few pubs for a town of its size. The many housing estates and residential streets on the Leicester side of town have next to nothing, in fact, so we in Whitwick are merely balancing things out. And last week I noticed that North Street Working Men's Club (shown on the website as the Liberal Club), has closed down, so there's one less drinking establishment (although the site fails to mention that you can also get a drink in the leisure centre - you do your workout, you replace the fluid, right?).
I've always been baffled as to where one of Whitwick's pubs, The Man Within Compass, gets its name, although locally it's anyway known as The Rag And Mop. Does anyone have any idea about either? One suggestion is that both have a Masonic connection, but I've never seen any proof of that.
My house, incidentally, is about 100 yards from The Black Horse, and had they photographed it from a slightly wider angle, it might have got in there. It's a nice little pub, although I usually prefer the short walk to the equally pleasant Hare and Hounds (or Mary's House, as it gets called). Confusing, isn't it?