It is French (Quarré). Quarre les tombes is a place in France. Also it can be used as family names. There is no such thing as Quarré wig I believe if there is a style called Quarré then I would suggest Quarré style wig to determine what is means. There could be a wig style which bears an English name and looks the same and has the same qualities but I am definetly no expert. I also still have enough hair on my head, so no need for me to research how to cover any baldness hence I am unaware. I suppose it is one of those foreign names that need and cannot be translated. However I am only trying to do an intelligent guess nothing more! :)

pictures of these more or less fit your description

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Note added at 44 mins (2007-12-04 15:29:15 GMT)
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peruke = one of several wigs popularly worn in the period extending from the 17th century to the early 19th century (Webster)

periwig =. An artificial imitation of a head of hair (or part of one); worn formerly, first by women and then by men, as a fashionable head-dress; retained by judges, barristers, etc., as part of their professional costume; used by actors as a part of their make-up, and generally as a means of personal disguise, a concealment of premature grey hairs, or a covering for baldness; (OED)

quarré must refer to square and perücke to wig. However, no results on the web for square wig. Yet, in French: "perruque carré" (which means square wig" gives me 24 hits. The German context leaves room for interpretation, but "square wig" seems a realistic option.

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Note added at 18 hrs (2007-12-05 09:40:20 GMT)
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Question is: were there bob wigs (or, for that matter, square wigs) in the 17th century? Perhaps we should ask an old, very old hair stylist...