Saracen's Head Yard

Following on the theme of literal place names in London, the yard in question surely has a murky past. I don't think that a Saracen had his head chopped off in the vicinity, instead I think it more likely that a Crusader bought back the head of a Saracen to this place. Although upon reflection the most probable explanation would be that at one point in history, an Inn named The Saracen's Head stood here, although a quick search on Google doesn't reveal much.