This question occupied the minds of some in England in 1890. You might wish to look at this beautifully entertaining post, which I hope you will enjoy as much as I did.
אין חדש תחת השמש
PS. I’ve always known (from my father) that a Peruke (Peh-roo-keh) is another name for a wig, although I’ve only ever heard him use it in the context of a toupee for a male.