Topaz is right.
It was the Cavaliers (or Royalists as they are also known) who wore wigs. Purely as a macho thing and also, in those pre Wash'n'Go days, because personal hygiene wasn't what it is now.
For balding cavaliers, wigs were as much a vanity thing as they are now.
This pic is of King Charles ii doing his famous Elton John impersonation.
You can find out more on the Royalists on...
or go into Wikipedia and key in Cavalier.
PS The Royalists were the political opponents of the Puritans and vice versa.
PPS Apart from vanity, wearing a wig (which were enormously expensive then) was also a clear sign of superior status and affluence. The then equivalent of wearing a £20,000 Rolex.